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Simplifying 2(3x + -9) = 4x + -4(2x + 2) Reorder the terms: 2(-9 + 3x) = 4x + -4(2x + 2) (-9 * 2 + 3x * 2) = 4x + -4(2x + 2) (-18 + 6x) = 4x + -4(2x + 2) Reorder the terms: -18 + 6x = 4x + -4(2 + 2x) -18 + 6x = 4x + (2 * -4 + 2x * -4) -18 + 6x = 4x + (-8 + -8x) Reorder the terms: -18 + 6x = -8 + 4x + -8x Combine like terms: 4x + -8x = -4x -18 + 6x = -8 + -4x Solving -18 + 6x = -8 + -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. -18 + 6x + 4x = -8 + -4x + 4x Combine like terms: 6x + 4x = 10x -18 + 10x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 10x = -8 + 0 -18 + 10x = -8 Add '18' to each side of the equation. -18 + 18 + 10x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = -8 + 18 10x = -8 + 18 Combine like terms: -8 + 18 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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