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Simplifying -12x + 2(4x + -7) = -15 + -3x Reorder the terms: -12x + 2(-7 + 4x) = -15 + -3x -12x + (-7 * 2 + 4x * 2) = -15 + -3x -12x + (-14 + 8x) = -15 + -3x Reorder the terms: -14 + -12x + 8x = -15 + -3x Combine like terms: -12x + 8x = -4x -14 + -4x = -15 + -3x Solving -14 + -4x = -15 + -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. -14 + -4x + 3x = -15 + -3x + 3x Combine like terms: -4x + 3x = -1x -14 + -1x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + -1x = -15 + 0 -14 + -1x = -15 Add '14' to each side of the equation. -14 + 14 + -1x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -15 + 14 -1x = -15 + 14 Combine like terms: -15 + 14 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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