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Simplifying 3(2x + -4) + 6 = 2x + -1(5x + -12) Reorder the terms: 3(-4 + 2x) + 6 = 2x + -1(5x + -12) (-4 * 3 + 2x * 3) + 6 = 2x + -1(5x + -12) (-12 + 6x) + 6 = 2x + -1(5x + -12) Reorder the terms: -12 + 6 + 6x = 2x + -1(5x + -12) Combine like terms: -12 + 6 = -6 -6 + 6x = 2x + -1(5x + -12) Reorder the terms: -6 + 6x = 2x + -1(-12 + 5x) -6 + 6x = 2x + (-12 * -1 + 5x * -1) -6 + 6x = 2x + (12 + -5x) Reorder the terms: -6 + 6x = 12 + 2x + -5x Combine like terms: 2x + -5x = -3x -6 + 6x = 12 + -3x Solving -6 + 6x = 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. -6 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x -6 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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