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Simplifying 3x + -12(3 + x) + -4x = -1(5 + -1x) + -1(7 + -1x) 3x + (3 * -12 + x * -12) + -4x = -1(5 + -1x) + -1(7 + -1x) 3x + (-36 + -12x) + -4x = -1(5 + -1x) + -1(7 + -1x) Reorder the terms: -36 + 3x + -12x + -4x = -1(5 + -1x) + -1(7 + -1x) Combine like terms: 3x + -12x = -9x -36 + -9x + -4x = -1(5 + -1x) + -1(7 + -1x) Combine like terms: -9x + -4x = -13x -36 + -13x = -1(5 + -1x) + -1(7 + -1x) -36 + -13x = (5 * -1 + -1x * -1) + -1(7 + -1x) -36 + -13x = (-5 + 1x) + -1(7 + -1x) -36 + -13x = -5 + 1x + (7 * -1 + -1x * -1) -36 + -13x = -5 + 1x + (-7 + 1x) Reorder the terms: -36 + -13x = -5 + -7 + 1x + 1x Combine like terms: -5 + -7 = -12 -36 + -13x = -12 + 1x + 1x Combine like terms: 1x + 1x = 2x -36 + -13x = -12 + 2x Solving -36 + -13x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + -13x + -2x = -12 + 2x + -2x Combine like terms: -13x + -2x = -15x -36 + -15x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + -15x = -12 + 0 -36 + -15x = -12 Add '36' to each side of the equation. -36 + 36 + -15x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -15x = -12 + 36 -15x = -12 + 36 Combine like terms: -12 + 36 = 24 -15x = 24 Divide each side by '-15'. x = -1.6 Simplifying x = -1.6
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