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Simplifying 3(x + 1) + -2(4x + -5) = 3x + 1 + 2(x + -1) Reorder the terms: 3(1 + x) + -2(4x + -5) = 3x + 1 + 2(x + -1) (1 * 3 + x * 3) + -2(4x + -5) = 3x + 1 + 2(x + -1) (3 + 3x) + -2(4x + -5) = 3x + 1 + 2(x + -1) Reorder the terms: 3 + 3x + -2(-5 + 4x) = 3x + 1 + 2(x + -1) 3 + 3x + (-5 * -2 + 4x * -2) = 3x + 1 + 2(x + -1) 3 + 3x + (10 + -8x) = 3x + 1 + 2(x + -1) Reorder the terms: 3 + 10 + 3x + -8x = 3x + 1 + 2(x + -1) Combine like terms: 3 + 10 = 13 13 + 3x + -8x = 3x + 1 + 2(x + -1) Combine like terms: 3x + -8x = -5x 13 + -5x = 3x + 1 + 2(x + -1) Reorder the terms: 13 + -5x = 3x + 1 + 2(-1 + x) 13 + -5x = 3x + 1 + (-1 * 2 + x * 2) 13 + -5x = 3x + 1 + (-2 + 2x) Reorder the terms: 13 + -5x = 1 + -2 + 3x + 2x Combine like terms: 1 + -2 = -1 13 + -5x = -1 + 3x + 2x Combine like terms: 3x + 2x = 5x 13 + -5x = -1 + 5x Solving 13 + -5x = -1 + 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. 13 + -5x + -5x = -1 + 5x + -5x Combine like terms: -5x + -5x = -10x 13 + -10x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -10x = -1 + 0 13 + -10x = -1 Add '-13' to each side of the equation. 13 + -13 + -10x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -1 + -13 -10x = -1 + -13 Combine like terms: -1 + -13 = -14 -10x = -14 Divide each side by '-10'. x = 1.4 Simplifying x = 1.4
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