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Simplifying 4 + -1(2x + -3) = 9 + -1(x + 8) Reorder the terms: 4 + -1(-3 + 2x) = 9 + -1(x + 8) 4 + (-3 * -1 + 2x * -1) = 9 + -1(x + 8) 4 + (3 + -2x) = 9 + -1(x + 8) Combine like terms: 4 + 3 = 7 7 + -2x = 9 + -1(x + 8) Reorder the terms: 7 + -2x = 9 + -1(8 + x) 7 + -2x = 9 + (8 * -1 + x * -1) 7 + -2x = 9 + (-8 + -1x) Combine like terms: 9 + -8 = 1 7 + -2x = 1 + -1x Solving 7 + -2x = 1 + -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. 7 + -2x + x = 1 + -1x + x Combine like terms: -2x + x = -1x 7 + -1x = 1 + -1x + x Combine like terms: -1x + x = 0 7 + -1x = 1 + 0 7 + -1x = 1 Add '-7' to each side of the equation. 7 + -7 + -1x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 1 + -7 -1x = 1 + -7 Combine like terms: 1 + -7 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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