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Simplifying 5(x + 1) = 3x + -2(x + 1) Reorder the terms: 5(1 + x) = 3x + -2(x + 1) (1 * 5 + x * 5) = 3x + -2(x + 1) (5 + 5x) = 3x + -2(x + 1) Reorder the terms: 5 + 5x = 3x + -2(1 + x) 5 + 5x = 3x + (1 * -2 + x * -2) 5 + 5x = 3x + (-2 + -2x) Reorder the terms: 5 + 5x = -2 + 3x + -2x Combine like terms: 3x + -2x = 1x 5 + 5x = -2 + 1x Solving 5 + 5x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 5x + -1x = -2 + 1x + -1x Combine like terms: 5x + -1x = 4x 5 + 4x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 4x = -2 + 0 5 + 4x = -2 Add '-5' to each side of the equation. 5 + -5 + 4x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -2 + -5 4x = -2 + -5 Combine like terms: -2 + -5 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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