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Simplifying 3x + -12(3 + x) + -4x = -1(-5 + -1x) + -1(7 + -1) 3x + (3 * -12 + x * -12) + -4x = -1(-5 + -1x) + -1(7 + -1) 3x + (-36 + -12x) + -4x = -1(-5 + -1x) + -1(7 + -1) Reorder the terms: -36 + 3x + -12x + -4x = -1(-5 + -1x) + -1(7 + -1) Combine like terms: 3x + -12x = -9x -36 + -9x + -4x = -1(-5 + -1x) + -1(7 + -1) Combine like terms: -9x + -4x = -13x -36 + -13x = -1(-5 + -1x) + -1(7 + -1) -36 + -13x = (-5 * -1 + -1x * -1) + -1(7 + -1) -36 + -13x = (5 + 1x) + -1(7 + -1) Combine like terms: 7 + -1 = 6 -36 + -13x = 5 + 1x + -1(6) Multiply -1 * 6 -36 + -13x = 5 + 1x + -6 Reorder the terms: -36 + -13x = 5 + -6 + 1x Combine like terms: 5 + -6 = -1 -36 + -13x = -1 + 1x Solving -36 + -13x = -1 + 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. -36 + -13x + -1x = -1 + 1x + -1x Combine like terms: -13x + -1x = -14x -36 + -14x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 -36 + -14x = -1 + 0 -36 + -14x = -1 Add '36' to each side of the equation. -36 + 36 + -14x = -1 + 36 Combine like terms: -36 + 36 = 0 0 + -14x = -1 + 36 -14x = -1 + 36 Combine like terms: -1 + 36 = 35 -14x = 35 Divide each side by '-14'. x = -2.5 Simplifying x = -2.5
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