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Simplifying 3(4x + -6) = 2x + -1(5x + -12) Reorder the terms: 3(-6 + 4x) = 2x + -1(5x + -12) (-6 * 3 + 4x * 3) = 2x + -1(5x + -12) (-18 + 12x) = 2x + -1(5x + -12) Reorder the terms: -18 + 12x = 2x + -1(-12 + 5x) -18 + 12x = 2x + (-12 * -1 + 5x * -1) -18 + 12x = 2x + (12 + -5x) Reorder the terms: -18 + 12x = 12 + 2x + -5x Combine like terms: 2x + -5x = -3x -18 + 12x = 12 + -3x Solving -18 + 12x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 12x + 3x = 12 + -3x + 3x Combine like terms: 12x + 3x = 15x -18 + 15x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 15x = 12 + 0 -18 + 15x = 12 Add '18' to each side of the equation. -18 + 18 + 15x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 12 + 18 15x = 12 + 18 Combine like terms: 12 + 18 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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