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Simplifying -4(3x + 2) + 5 = 5 + -1(x + -3) Reorder the terms: -4(2 + 3x) + 5 = 5 + -1(x + -3) (2 * -4 + 3x * -4) + 5 = 5 + -1(x + -3) (-8 + -12x) + 5 = 5 + -1(x + -3) Reorder the terms: -8 + 5 + -12x = 5 + -1(x + -3) Combine like terms: -8 + 5 = -3 -3 + -12x = 5 + -1(x + -3) Reorder the terms: -3 + -12x = 5 + -1(-3 + x) -3 + -12x = 5 + (-3 * -1 + x * -1) -3 + -12x = 5 + (3 + -1x) Combine like terms: 5 + 3 = 8 -3 + -12x = 8 + -1x Solving -3 + -12x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + -12x + x = 8 + -1x + x Combine like terms: -12x + x = -11x -3 + -11x = 8 + -1x + x Combine like terms: -1x + x = 0 -3 + -11x = 8 + 0 -3 + -11x = 8 Add '3' to each side of the equation. -3 + 3 + -11x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 8 + 3 -11x = 8 + 3 Combine like terms: 8 + 3 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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