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Simplifying 2(1x + 5) + -3 = -1(2x + 1) + 1 Reorder the terms: 2(5 + 1x) + -3 = -1(2x + 1) + 1 (5 * 2 + 1x * 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 7 + 2x = (1 * -1 + 2x * -1) + 1 7 + 2x = (-1 + -2x) + 1 Reorder the terms: 7 + 2x = -1 + 1 + -2x Combine like terms: -1 + 1 = 0 7 + 2x = 0 + -2x 7 + 2x = -2x Solving 7 + 2x = -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 = -2x + 2x Combine like terms: 2x + 2x = 4x 7 + 4x = -2x + 2x Combine like terms: -2x + 2x = 0 7 + 4x = 0 Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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