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Simplifying 3(x + -1) + 2(4x + -5) = (x + -3) + 5 Reorder the terms: 3(-1 + x) + 2(4x + -5) = (x + -3) + 5 (-1 * 3 + x * 3) + 2(4x + -5) = (x + -3) + 5 (-3 + 3x) + 2(4x + -5) = (x + -3) + 5 Reorder the terms: -3 + 3x + 2(-5 + 4x) = (x + -3) + 5 -3 + 3x + (-5 * 2 + 4x * 2) = (x + -3) + 5 -3 + 3x + (-10 + 8x) = (x + -3) + 5 Reorder the terms: -3 + -10 + 3x + 8x = (x + -3) + 5 Combine like terms: -3 + -10 = -13 -13 + 3x + 8x = (x + -3) + 5 Combine like terms: 3x + 8x = 11x -13 + 11x = (x + -3) + 5 Reorder the terms: -13 + 11x = (-3 + x) + 5 Remove parenthesis around (-3 + x) -13 + 11x = -3 + x + 5 Reorder the terms: -13 + 11x = -3 + 5 + x Combine like terms: -3 + 5 = 2 -13 + 11x = 2 + x Solving -13 + 11x = 2 + x 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. -13 + 11x + -1x = 2 + x + -1x Combine like terms: 11x + -1x = 10x -13 + 10x = 2 + x + -1x Combine like terms: x + -1x = 0 -13 + 10x = 2 + 0 -13 + 10x = 2 Add '13' to each side of the equation. -13 + 13 + 10x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 2 + 13 10x = 2 + 13 Combine like terms: 2 + 13 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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