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Simplifying -5x + 3 = -2(4x + 12) Reorder the terms: 3 + -5x = -2(4x + 12) Reorder the terms: 3 + -5x = -2(12 + 4x) 3 + -5x = (12 * -2 + 4x * -2) 3 + -5x = (-24 + -8x) Solving 3 + -5x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + -5x + 8x = -24 + -8x + 8x Combine like terms: -5x + 8x = 3x 3 + 3x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 3x = -24 + 0 3 + 3x = -24 Add '-3' to each side of the equation. 3 + -3 + 3x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -24 + -3 3x = -24 + -3 Combine like terms: -24 + -3 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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