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Simplifying 5x + 3 = -1(12 + -4x) Reorder the terms: 3 + 5x = -1(12 + -4x) 3 + 5x = (12 * -1 + -4x * -1) 3 + 5x = (-12 + 4x) Solving 3 + 5x = -12 + 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 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = -12 + 0 3 + 1x = -12 Add '-3' to each side of the equation. 3 + -3 + 1x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -12 + -3 1x = -12 + -3 Combine like terms: -12 + -3 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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