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Simplifying 4 + -1(3x + -5) = 6 + -1(2x + 7) Reorder the terms: 4 + -1(-5 + 3x) = 6 + -1(2x + 7) 4 + (-5 * -1 + 3x * -1) = 6 + -1(2x + 7) 4 + (5 + -3x) = 6 + -1(2x + 7) Combine like terms: 4 + 5 = 9 9 + -3x = 6 + -1(2x + 7) Reorder the terms: 9 + -3x = 6 + -1(7 + 2x) 9 + -3x = 6 + (7 * -1 + 2x * -1) 9 + -3x = 6 + (-7 + -2x) Combine like terms: 6 + -7 = -1 9 + -3x = -1 + -2x Solving 9 + -3x = -1 + -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. 9 + -3x + 2x = -1 + -2x + 2x Combine like terms: -3x + 2x = -1x 9 + -1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + -1x = -1 + 0 9 + -1x = -1 Add '-9' to each side of the equation. 9 + -9 + -1x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -1 + -9 -1x = -1 + -9 Combine like terms: -1 + -9 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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