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Simplifying 8x + 12 = -4(3 + 4x) Reorder the terms: 12 + 8x = -4(3 + 4x) 12 + 8x = (3 * -4 + 4x * -4) 12 + 8x = (-12 + -16x) Solving 12 + 8x = -12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + 8x + 16x = -12 + -16x + 16x Combine like terms: 8x + 16x = 24x 12 + 24x = -12 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 24x = -12 + 0 12 + 24x = -12 Add '-12' to each side of the equation. 12 + -12 + 24x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = -12 + -12 24x = -12 + -12 Combine like terms: -12 + -12 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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