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Simplifying 2(x + 5) + -3 = (-2x + 1) + 1 Reorder the terms: 2(5 + x) + -3 = (-2x + 1) + 1 (5 * 2 + x * 2) + -3 = (-2x + 1) + 1 (10 + 2x) + -3 = (-2x + 1) + 1 Reorder the terms: 10 + -3 + 2x = (-2x + 1) + 1 Combine like terms: 10 + -3 = 7 7 + 2x = (-2x + 1) + 1 Reorder the terms: 7 + 2x = (1 + -2x) + 1 Remove parenthesis around (1 + -2x) 7 + 2x = 1 + -2x + 1 Reorder the terms: 7 + 2x = 1 + 1 + -2x Combine like terms: 1 + 1 = 2 7 + 2x = 2 + -2x Solving 7 + 2x = 2 + -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 = 2 + -2x + 2x Combine like terms: 2x + 2x = 4x 7 + 4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 4x = 2 + 0 7 + 4x = 2 Add '-7' to each side of the equation. 7 + -7 + 4x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 2 + -7 4x = 2 + -7 Combine like terms: 2 + -7 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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