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Simplifying 12 + -3(x + -5) = 2(x + -4) + 5 Reorder the terms: 12 + -3(-5 + x) = 2(x + -4) + 5 12 + (-5 * -3 + x * -3) = 2(x + -4) + 5 12 + (15 + -3x) = 2(x + -4) + 5 Combine like terms: 12 + 15 = 27 27 + -3x = 2(x + -4) + 5 Reorder the terms: 27 + -3x = 2(-4 + x) + 5 27 + -3x = (-4 * 2 + x * 2) + 5 27 + -3x = (-8 + 2x) + 5 Reorder the terms: 27 + -3x = -8 + 5 + 2x Combine like terms: -8 + 5 = -3 27 + -3x = -3 + 2x Solving 27 + -3x = -3 + 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 = -3 + 2x + -2x Combine like terms: -3x + -2x = -5x 27 + -5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -5x = -3 + 0 27 + -5x = -3 Add '-27' to each side of the equation. 27 + -27 + -5x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -3 + -27 -5x = -3 + -27 Combine like terms: -3 + -27 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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