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Simplifying 4 + 3(x + -1) = 9 + -7(x + -9) Reorder the terms: 4 + 3(-1 + x) = 9 + -7(x + -9) 4 + (-1 * 3 + x * 3) = 9 + -7(x + -9) 4 + (-3 + 3x) = 9 + -7(x + -9) Combine like terms: 4 + -3 = 1 1 + 3x = 9 + -7(x + -9) Reorder the terms: 1 + 3x = 9 + -7(-9 + x) 1 + 3x = 9 + (-9 * -7 + x * -7) 1 + 3x = 9 + (63 + -7x) Combine like terms: 9 + 63 = 72 1 + 3x = 72 + -7x Solving 1 + 3x = 72 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + 3x + 7x = 72 + -7x + 7x Combine like terms: 3x + 7x = 10x 1 + 10x = 72 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 10x = 72 + 0 1 + 10x = 72 Add '-1' to each side of the equation. 1 + -1 + 10x = 72 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 72 + -1 10x = 72 + -1 Combine like terms: 72 + -1 = 71 10x = 71 Divide each side by '10'. x = 7.1 Simplifying x = 7.1
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