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