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Simplifying -2x + 8 = -3(2x + 4) Reorder the terms: 8 + -2x = -3(2x + 4) Reorder the terms: 8 + -2x = -3(4 + 2x) 8 + -2x = (4 * -3 + 2x * -3) 8 + -2x = (-12 + -6x) Solving 8 + -2x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -2x + 6x = -12 + -6x + 6x Combine like terms: -2x + 6x = 4x 8 + 4x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 4x = -12 + 0 8 + 4x = -12 Add '-8' to each side of the equation. 8 + -8 + 4x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -12 + -8 4x = -12 + -8 Combine like terms: -12 + -8 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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