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Simplifying 3(x + -6) + 15 = 4(x + -1) + 4 Reorder the terms: 3(-6 + x) + 15 = 4(x + -1) + 4 (-6 * 3 + x * 3) + 15 = 4(x + -1) + 4 (-18 + 3x) + 15 = 4(x + -1) + 4 Reorder the terms: -18 + 15 + 3x = 4(x + -1) + 4 Combine like terms: -18 + 15 = -3 -3 + 3x = 4(x + -1) + 4 Reorder the terms: -3 + 3x = 4(-1 + x) + 4 -3 + 3x = (-1 * 4 + x * 4) + 4 -3 + 3x = (-4 + 4x) + 4 Reorder the terms: -3 + 3x = -4 + 4 + 4x Combine like terms: -4 + 4 = 0 -3 + 3x = 0 + 4x -3 + 3x = 4x Solving -3 + 3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = 0 Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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