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Simplifying 3x + -5(x + -9) = 7 + -4(x + 1) Reorder the terms: 3x + -5(-9 + x) = 7 + -4(x + 1) 3x + (-9 * -5 + x * -5) = 7 + -4(x + 1) 3x + (45 + -5x) = 7 + -4(x + 1) Reorder the terms: 45 + 3x + -5x = 7 + -4(x + 1) Combine like terms: 3x + -5x = -2x 45 + -2x = 7 + -4(x + 1) Reorder the terms: 45 + -2x = 7 + -4(1 + x) 45 + -2x = 7 + (1 * -4 + x * -4) 45 + -2x = 7 + (-4 + -4x) Combine like terms: 7 + -4 = 3 45 + -2x = 3 + -4x Solving 45 + -2x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 45 + -2x + 4x = 3 + -4x + 4x Combine like terms: -2x + 4x = 2x 45 + 2x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 45 + 2x = 3 + 0 45 + 2x = 3 Add '-45' to each side of the equation. 45 + -45 + 2x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 3 + -45 2x = 3 + -45 Combine like terms: 3 + -45 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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