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Simplifying 5x + 12 = -2(3 + -4x) Reorder the terms: 12 + 5x = -2(3 + -4x) 12 + 5x = (3 * -2 + -4x * -2) 12 + 5x = (-6 + 8x) Solving 12 + 5x = -6 + 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. 12 + 5x + -8x = -6 + 8x + -8x Combine like terms: 5x + -8x = -3x 12 + -3x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -3x = -6 + 0 12 + -3x = -6 Add '-12' to each side of the equation. 12 + -12 + -3x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -6 + -12 -3x = -6 + -12 Combine like terms: -6 + -12 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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