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Simplifying -1(6x + -4) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4 Reorder the terms: -1(-4 + 6x) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4 (-4 * -1 + 6x * -1) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4 (4 + -6x) + -1(2x + -8) + 8 = 4(x + -9) + -1(7x + 6) + 4 Reorder the terms: 4 + -6x + -1(-8 + 2x) + 8 = 4(x + -9) + -1(7x + 6) + 4 4 + -6x + (-8 * -1 + 2x * -1) + 8 = 4(x + -9) + -1(7x + 6) + 4 4 + -6x + (8 + -2x) + 8 = 4(x + -9) + -1(7x + 6) + 4 Reorder the terms: 4 + 8 + 8 + -6x + -2x = 4(x + -9) + -1(7x + 6) + 4 Combine like terms: 4 + 8 = 12 12 + 8 + -6x + -2x = 4(x + -9) + -1(7x + 6) + 4 Combine like terms: 12 + 8 = 20 20 + -6x + -2x = 4(x + -9) + -1(7x + 6) + 4 Combine like terms: -6x + -2x = -8x 20 + -8x = 4(x + -9) + -1(7x + 6) + 4 Reorder the terms: 20 + -8x = 4(-9 + x) + -1(7x + 6) + 4 20 + -8x = (-9 * 4 + x * 4) + -1(7x + 6) + 4 20 + -8x = (-36 + 4x) + -1(7x + 6) + 4 Reorder the terms: 20 + -8x = -36 + 4x + -1(6 + 7x) + 4 20 + -8x = -36 + 4x + (6 * -1 + 7x * -1) + 4 20 + -8x = -36 + 4x + (-6 + -7x) + 4 Reorder the terms: 20 + -8x = -36 + -6 + 4 + 4x + -7x Combine like terms: -36 + -6 = -42 20 + -8x = -42 + 4 + 4x + -7x Combine like terms: -42 + 4 = -38 20 + -8x = -38 + 4x + -7x Combine like terms: 4x + -7x = -3x 20 + -8x = -38 + -3x Solving 20 + -8x = -38 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + -8x + 3x = -38 + -3x + 3x Combine like terms: -8x + 3x = -5x 20 + -5x = -38 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + -5x = -38 + 0 20 + -5x = -38 Add '-20' to each side of the equation. 20 + -20 + -5x = -38 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -38 + -20 -5x = -38 + -20 Combine like terms: -38 + -20 = -58 -5x = -58 Divide each side by '-5'. x = 11.6 Simplifying x = 11.6
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