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Simplifying 2(x + 5) + -3 = -2(2x + 1) + 1 Reorder the terms: 2(5 + x) + -3 = -2(2x + 1) + 1 (5 * 2 + x * 2) + -3 = -2(2x + 1) + 1 (10 + 2x) + -3 = -2(2x + 1) + 1 Reorder the terms: 10 + -3 + 2x = -2(2x + 1) + 1 Combine like terms: 10 + -3 = 7 7 + 2x = -2(2x + 1) + 1 Reorder the terms: 7 + 2x = -2(1 + 2x) + 1 7 + 2x = (1 * -2 + 2x * -2) + 1 7 + 2x = (-2 + -4x) + 1 Reorder the terms: 7 + 2x = -2 + 1 + -4x Combine like terms: -2 + 1 = -1 7 + 2x = -1 + -4x Solving 7 + 2x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 2x + 4x = -1 + -4x + 4x Combine like terms: 2x + 4x = 6x 7 + 6x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 6x = -1 + 0 7 + 6x = -1 Add '-7' to each side of the equation. 7 + -7 + 6x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -1 + -7 6x = -1 + -7 Combine like terms: -1 + -7 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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