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Simplifying 4(2x + 3) = (x + -2) * 2 Reorder the terms: 4(3 + 2x) = (x + -2) * 2 (3 * 4 + 2x * 4) = (x + -2) * 2 (12 + 8x) = (x + -2) * 2 Reorder the terms: 12 + 8x = (-2 + x) * 2 Reorder the terms for easier multiplication: 12 + 8x = 2(-2 + x) 12 + 8x = (-2 * 2 + x * 2) 12 + 8x = (-4 + 2x) Solving 12 + 8x = -4 + 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 = -4 + 2x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 6x = -4 + 0 12 + 6x = -4 Add '-12' to each side of the equation. 12 + -12 + 6x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -4 + -12 6x = -4 + -12 Combine like terms: -4 + -12 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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