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