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Simplifying 3(x + -5) + -12 = 2(x + -2) + 3 Reorder the terms: 3(-5 + x) + -12 = 2(x + -2) + 3 (-5 * 3 + x * 3) + -12 = 2(x + -2) + 3 (-15 + 3x) + -12 = 2(x + -2) + 3 Reorder the terms: -15 + -12 + 3x = 2(x + -2) + 3 Combine like terms: -15 + -12 = -27 -27 + 3x = 2(x + -2) + 3 Reorder the terms: -27 + 3x = 2(-2 + x) + 3 -27 + 3x = (-2 * 2 + x * 2) + 3 -27 + 3x = (-4 + 2x) + 3 Reorder the terms: -27 + 3x = -4 + 3 + 2x Combine like terms: -4 + 3 = -1 -27 + 3x = -1 + 2x Solving -27 + 3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 1x = -1 + 0 -27 + 1x = -1 Add '27' to each side of the equation. -27 + 27 + 1x = -1 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -1 + 27 1x = -1 + 27 Combine like terms: -1 + 27 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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