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Simplifying 3(4x + -5) + 2 = (3x + -1) + -2(x + -5) Reorder the terms: 3(-5 + 4x) + 2 = (3x + -1) + -2(x + -5) (-5 * 3 + 4x * 3) + 2 = (3x + -1) + -2(x + -5) (-15 + 12x) + 2 = (3x + -1) + -2(x + -5) Reorder the terms: -15 + 2 + 12x = (3x + -1) + -2(x + -5) Combine like terms: -15 + 2 = -13 -13 + 12x = (3x + -1) + -2(x + -5) Reorder the terms: -13 + 12x = (-1 + 3x) + -2(x + -5) Remove parenthesis around (-1 + 3x) -13 + 12x = -1 + 3x + -2(x + -5) Reorder the terms: -13 + 12x = -1 + 3x + -2(-5 + x) -13 + 12x = -1 + 3x + (-5 * -2 + x * -2) -13 + 12x = -1 + 3x + (10 + -2x) Reorder the terms: -13 + 12x = -1 + 10 + 3x + -2x Combine like terms: -1 + 10 = 9 -13 + 12x = 9 + 3x + -2x Combine like terms: 3x + -2x = 1x -13 + 12x = 9 + 1x Solving -13 + 12x = 9 + 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. -13 + 12x + -1x = 9 + 1x + -1x Combine like terms: 12x + -1x = 11x -13 + 11x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + 11x = 9 + 0 -13 + 11x = 9 Add '13' to each side of the equation. -13 + 13 + 11x = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 9 + 13 11x = 9 + 13 Combine like terms: 9 + 13 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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