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Simplifying 4(2x + 3) = 2(x + -6) Reorder the terms: 4(3 + 2x) = 2(x + -6) (3 * 4 + 2x * 4) = 2(x + -6) (12 + 8x) = 2(x + -6) Reorder the terms: 12 + 8x = 2(-6 + x) 12 + 8x = (-6 * 2 + x * 2) 12 + 8x = (-12 + 2x) Solving 12 + 8x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 8x + -2x = -12 + 2x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 6x = -12 + 0 12 + 6x = -12 Add '-12' to each side of the equation. 12 + -12 + 6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -12 + -12 6x = -12 + -12 Combine like terms: -12 + -12 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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