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Simplifying 2(x + 5) + -3 = -1(2x + 1) * 1 Reorder the terms: 2(5 + x) + -3 = -1(2x + 1) * 1 (5 * 2 + x * 2) + -3 = -1(2x + 1) * 1 (10 + 2x) + -3 = -1(2x + 1) * 1 Reorder the terms: 10 + -3 + 2x = -1(2x + 1) * 1 Combine like terms: 10 + -3 = 7 7 + 2x = -1(2x + 1) * 1 Reorder the terms: 7 + 2x = -1(1 + 2x) * 1 Reorder the terms for easier multiplication: 7 + 2x = -1 * 1(1 + 2x) Multiply -1 * 1 7 + 2x = -1(1 + 2x) 7 + 2x = (1 * -1 + 2x * -1) 7 + 2x = (-1 + -2x) Solving 7 + 2x = -1 + -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. 7 + 2x + 2x = -1 + -2x + 2x Combine like terms: 2x + 2x = 4x 7 + 4x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 4x = -1 + 0 7 + 4x = -1 Add '-7' to each side of the equation. 7 + -7 + 4x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -1 + -7 4x = -1 + -7 Combine like terms: -1 + -7 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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