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Simplifying 2(6 + -8x) = 4(2x + -3) (6 * 2 + -8x * 2) = 4(2x + -3) (12 + -16x) = 4(2x + -3) Reorder the terms: 12 + -16x = 4(-3 + 2x) 12 + -16x = (-3 * 4 + 2x * 4) 12 + -16x = (-12 + 8x) Solving 12 + -16x = -12 + 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 + -16x + -8x = -12 + 8x + -8x Combine like terms: -16x + -8x = -24x 12 + -24x = -12 + 8x + -8x Combine like terms: 8x + -8x = 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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