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Simplifying 5(x + 2) + -3(x + -4) = 7 + -1x Reorder the terms: 5(2 + x) + -3(x + -4) = 7 + -1x (2 * 5 + x * 5) + -3(x + -4) = 7 + -1x (10 + 5x) + -3(x + -4) = 7 + -1x Reorder the terms: 10 + 5x + -3(-4 + x) = 7 + -1x 10 + 5x + (-4 * -3 + x * -3) = 7 + -1x 10 + 5x + (12 + -3x) = 7 + -1x Reorder the terms: 10 + 12 + 5x + -3x = 7 + -1x Combine like terms: 10 + 12 = 22 22 + 5x + -3x = 7 + -1x Combine like terms: 5x + -3x = 2x 22 + 2x = 7 + -1x Solving 22 + 2x = 7 + -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. 22 + 2x + x = 7 + -1x + x Combine like terms: 2x + x = 3x 22 + 3x = 7 + -1x + x Combine like terms: -1x + x = 0 22 + 3x = 7 + 0 22 + 3x = 7 Add '-22' to each side of the equation. 22 + -22 + 3x = 7 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 7 + -22 3x = 7 + -22 Combine like terms: 7 + -22 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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