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Simplifying -3x + 2(2x + 4) = 6(x + 8) + 15 Reorder the terms: -3x + 2(4 + 2x) = 6(x + 8) + 15 -3x + (4 * 2 + 2x * 2) = 6(x + 8) + 15 -3x + (8 + 4x) = 6(x + 8) + 15 Reorder the terms: 8 + -3x + 4x = 6(x + 8) + 15 Combine like terms: -3x + 4x = 1x 8 + 1x = 6(x + 8) + 15 Reorder the terms: 8 + 1x = 6(8 + x) + 15 8 + 1x = (8 * 6 + x * 6) + 15 8 + 1x = (48 + 6x) + 15 Reorder the terms: 8 + 1x = 48 + 15 + 6x Combine like terms: 48 + 15 = 63 8 + 1x = 63 + 6x Solving 8 + 1x = 63 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 1x + -6x = 63 + 6x + -6x Combine like terms: 1x + -6x = -5x 8 + -5x = 63 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -5x = 63 + 0 8 + -5x = 63 Add '-8' to each side of the equation. 8 + -8 + -5x = 63 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 63 + -8 -5x = 63 + -8 Combine like terms: 63 + -8 = 55 -5x = 55 Divide each side by '-5'. x = -11 Simplifying x = -11
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