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