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Simplifying 7x + -3(x + -5) = 2(x + -1) + 9 Reorder the terms: 7x + -3(-5 + x) = 2(x + -1) + 9 7x + (-5 * -3 + x * -3) = 2(x + -1) + 9 7x + (15 + -3x) = 2(x + -1) + 9 Reorder the terms: 15 + 7x + -3x = 2(x + -1) + 9 Combine like terms: 7x + -3x = 4x 15 + 4x = 2(x + -1) + 9 Reorder the terms: 15 + 4x = 2(-1 + x) + 9 15 + 4x = (-1 * 2 + x * 2) + 9 15 + 4x = (-2 + 2x) + 9 Reorder the terms: 15 + 4x = -2 + 9 + 2x Combine like terms: -2 + 9 = 7 15 + 4x = 7 + 2x Solving 15 + 4x = 7 + 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. 15 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x 15 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 2x = 7 + 0 15 + 2x = 7 Add '-15' to each side of the equation. 15 + -15 + 2x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 7 + -15 2x = 7 + -15 Combine like terms: 7 + -15 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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