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Simplifying 4(2x + 3) = 3x + -1(2x + -2) Reorder the terms: 4(3 + 2x) = 3x + -1(2x + -2) (3 * 4 + 2x * 4) = 3x + -1(2x + -2) (12 + 8x) = 3x + -1(2x + -2) Reorder the terms: 12 + 8x = 3x + -1(-2 + 2x) 12 + 8x = 3x + (-2 * -1 + 2x * -1) 12 + 8x = 3x + (2 + -2x) Reorder the terms: 12 + 8x = 2 + 3x + -2x Combine like terms: 3x + -2x = 1x 12 + 8x = 2 + 1x Solving 12 + 8x = 2 + 1x 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 + 1x + -1x Combine like terms: 8x + -1x = 7x 12 + 7x = 2 + 1x + -1x Combine like terms: 1x + -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 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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