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Simplifying 5(x + -3) = 7 + -2(x + -1) Reorder the terms: 5(-3 + x) = 7 + -2(x + -1) (-3 * 5 + x * 5) = 7 + -2(x + -1) (-15 + 5x) = 7 + -2(x + -1) Reorder the terms: -15 + 5x = 7 + -2(-1 + x) -15 + 5x = 7 + (-1 * -2 + x * -2) -15 + 5x = 7 + (2 + -2x) Combine like terms: 7 + 2 = 9 -15 + 5x = 9 + -2x Solving -15 + 5x = 9 + -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 + 5x + 2x = 9 + -2x + 2x Combine like terms: 5x + 2x = 7x -15 + 7x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 7x = 9 + 0 -15 + 7x = 9 Add '15' to each side of the equation. -15 + 15 + 7x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 9 + 15 7x = 9 + 15 Combine like terms: 9 + 15 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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