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Simplifying 4x + -2(x + 1) + 3 = 5(x + 2) Reorder the terms: 4x + -2(1 + x) + 3 = 5(x + 2) 4x + (1 * -2 + x * -2) + 3 = 5(x + 2) 4x + (-2 + -2x) + 3 = 5(x + 2) Reorder the terms: -2 + 3 + 4x + -2x = 5(x + 2) Combine like terms: -2 + 3 = 1 1 + 4x + -2x = 5(x + 2) Combine like terms: 4x + -2x = 2x 1 + 2x = 5(x + 2) Reorder the terms: 1 + 2x = 5(2 + x) 1 + 2x = (2 * 5 + x * 5) 1 + 2x = (10 + 5x) Solving 1 + 2x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 2x + -5x = 10 + 5x + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -3x = 10 + 0 1 + -3x = 10 Add '-1' to each side of the equation. 1 + -1 + -3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 10 + -1 -3x = 10 + -1 Combine like terms: 10 + -1 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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