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Simplifying 4(2x + 3) = x + -2 Reorder the terms: 4(3 + 2x) = x + -2 (3 * 4 + 2x * 4) = x + -2 (12 + 8x) = x + -2 Reorder the terms: 12 + 8x = -2 + x Solving 12 + 8x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 8x + -1x = -2 + x + -1x Combine like terms: 8x + -1x = 7x 12 + 7x = -2 + x + -1x Combine like terms: x + -1x = 0 12 + 7x = -2 + 0 12 + 7x = -2 Add '-12' to each side of the equation. 12 + -12 + 7x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -2 + -12 7x = -2 + -12 Combine like terms: -2 + -12 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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