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Simplifying 3x + 6(-2 + -1x) + -12x + 8 = 3(13 + x) + -3x + 2 3x + (-2 * 6 + -1x * 6) + -12x + 8 = 3(13 + x) + -3x + 2 3x + (-12 + -6x) + -12x + 8 = 3(13 + x) + -3x + 2 Reorder the terms: -12 + 8 + 3x + -6x + -12x = 3(13 + x) + -3x + 2 Combine like terms: -12 + 8 = -4 -4 + 3x + -6x + -12x = 3(13 + x) + -3x + 2 Combine like terms: 3x + -6x = -3x -4 + -3x + -12x = 3(13 + x) + -3x + 2 Combine like terms: -3x + -12x = -15x -4 + -15x = 3(13 + x) + -3x + 2 -4 + -15x = (13 * 3 + x * 3) + -3x + 2 -4 + -15x = (39 + 3x) + -3x + 2 Reorder the terms: -4 + -15x = 39 + 2 + 3x + -3x Combine like terms: 39 + 2 = 41 -4 + -15x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -15x = 41 + 0 -4 + -15x = 41 Solving -4 + -15x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -15x = 41 + 4 Combine like terms: -4 + 4 = 0 0 + -15x = 41 + 4 -15x = 41 + 4 Combine like terms: 41 + 4 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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