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Simplifying 4(2x + 3) = 5 + -1(x + -2) Reorder the terms: 4(3 + 2x) = 5 + -1(x + -2) (3 * 4 + 2x * 4) = 5 + -1(x + -2) (12 + 8x) = 5 + -1(x + -2) Reorder the terms: 12 + 8x = 5 + -1(-2 + x) 12 + 8x = 5 + (-2 * -1 + x * -1) 12 + 8x = 5 + (2 + -1x) Combine like terms: 5 + 2 = 7 12 + 8x = 7 + -1x Solving 12 + 8x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 8x + x = 7 + -1x + x Combine like terms: 8x + x = 9x 12 + 9x = 7 + -1x + x Combine like terms: -1x + x = 0 12 + 9x = 7 + 0 12 + 9x = 7 Add '-12' to each side of the equation. 12 + -12 + 9x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 7 + -12 9x = 7 + -12 Combine like terms: 7 + -12 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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