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Simplifying -8x + -2(5 + -3x) + 6 + -6(4 + -8x) = 13(4x + 9) + -4(5x + -2) + 10 -8x + (5 * -2 + -3x * -2) + 6 + -6(4 + -8x) = 13(4x + 9) + -4(5x + -2) + 10 -8x + (-10 + 6x) + 6 + -6(4 + -8x) = 13(4x + 9) + -4(5x + -2) + 10 -8x + -10 + 6x + 6 + (4 * -6 + -8x * -6) = 13(4x + 9) + -4(5x + -2) + 10 -8x + -10 + 6x + 6 + (-24 + 48x) = 13(4x + 9) + -4(5x + -2) + 10 Reorder the terms: -10 + 6 + -24 + -8x + 6x + 48x = 13(4x + 9) + -4(5x + -2) + 10 Combine like terms: -10 + 6 = -4 -4 + -24 + -8x + 6x + 48x = 13(4x + 9) + -4(5x + -2) + 10 Combine like terms: -4 + -24 = -28 -28 + -8x + 6x + 48x = 13(4x + 9) + -4(5x + -2) + 10 Combine like terms: -8x + 6x = -2x -28 + -2x + 48x = 13(4x + 9) + -4(5x + -2) + 10 Combine like terms: -2x + 48x = 46x -28 + 46x = 13(4x + 9) + -4(5x + -2) + 10 Reorder the terms: -28 + 46x = 13(9 + 4x) + -4(5x + -2) + 10 -28 + 46x = (9 * 13 + 4x * 13) + -4(5x + -2) + 10 -28 + 46x = (117 + 52x) + -4(5x + -2) + 10 Reorder the terms: -28 + 46x = 117 + 52x + -4(-2 + 5x) + 10 -28 + 46x = 117 + 52x + (-2 * -4 + 5x * -4) + 10 -28 + 46x = 117 + 52x + (8 + -20x) + 10 Reorder the terms: -28 + 46x = 117 + 8 + 10 + 52x + -20x Combine like terms: 117 + 8 = 125 -28 + 46x = 125 + 10 + 52x + -20x Combine like terms: 125 + 10 = 135 -28 + 46x = 135 + 52x + -20x Combine like terms: 52x + -20x = 32x -28 + 46x = 135 + 32x Solving -28 + 46x = 135 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -28 + 46x + -32x = 135 + 32x + -32x Combine like terms: 46x + -32x = 14x -28 + 14x = 135 + 32x + -32x Combine like terms: 32x + -32x = 0 -28 + 14x = 135 + 0 -28 + 14x = 135 Add '28' to each side of the equation. -28 + 28 + 14x = 135 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 135 + 28 14x = 135 + 28 Combine like terms: 135 + 28 = 163 14x = 163 Divide each side by '14'. x = 11.64285714 Simplifying x = 11.64285714
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