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Simplifying 3(2x + -4) + 3x = 3(2x + -4) + 2(5 + -1x) Reorder the terms: 3(-4 + 2x) + 3x = 3(2x + -4) + 2(5 + -1x) (-4 * 3 + 2x * 3) + 3x = 3(2x + -4) + 2(5 + -1x) (-12 + 6x) + 3x = 3(2x + -4) + 2(5 + -1x) Combine like terms: 6x + 3x = 9x -12 + 9x = 3(2x + -4) + 2(5 + -1x) Reorder the terms: -12 + 9x = 3(-4 + 2x) + 2(5 + -1x) -12 + 9x = (-4 * 3 + 2x * 3) + 2(5 + -1x) -12 + 9x = (-12 + 6x) + 2(5 + -1x) -12 + 9x = -12 + 6x + (5 * 2 + -1x * 2) -12 + 9x = -12 + 6x + (10 + -2x) Reorder the terms: -12 + 9x = -12 + 10 + 6x + -2x Combine like terms: -12 + 10 = -2 -12 + 9x = -2 + 6x + -2x Combine like terms: 6x + -2x = 4x -12 + 9x = -2 + 4x Solving -12 + 9x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 9x + -4x = -2 + 4x + -4x Combine like terms: 9x + -4x = 5x -12 + 5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 5x = -2 + 0 -12 + 5x = -2 Add '12' to each side of the equation. -12 + 12 + 5x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -2 + 12 5x = -2 + 12 Combine like terms: -2 + 12 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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