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Simplifying 5(x + 2) = 7(x + -1) + -3 Reorder the terms: 5(2 + x) = 7(x + -1) + -3 (2 * 5 + x * 5) = 7(x + -1) + -3 (10 + 5x) = 7(x + -1) + -3 Reorder the terms: 10 + 5x = 7(-1 + x) + -3 10 + 5x = (-1 * 7 + x * 7) + -3 10 + 5x = (-7 + 7x) + -3 Reorder the terms: 10 + 5x = -7 + -3 + 7x Combine like terms: -7 + -3 = -10 10 + 5x = -10 + 7x Solving 10 + 5x = -10 + 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. 10 + 5x + -7x = -10 + 7x + -7x Combine like terms: 5x + -7x = -2x 10 + -2x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -2x = -10 + 0 10 + -2x = -10 Add '-10' to each side of the equation. 10 + -10 + -2x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -10 + -10 -2x = -10 + -10 Combine like terms: -10 + -10 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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