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Simplifying 2(3x + -3) = 2(5x + -4) + 2(3 + -1x) Reorder the terms: 2(-3 + 3x) = 2(5x + -4) + 2(3 + -1x) (-3 * 2 + 3x * 2) = 2(5x + -4) + 2(3 + -1x) (-6 + 6x) = 2(5x + -4) + 2(3 + -1x) Reorder the terms: -6 + 6x = 2(-4 + 5x) + 2(3 + -1x) -6 + 6x = (-4 * 2 + 5x * 2) + 2(3 + -1x) -6 + 6x = (-8 + 10x) + 2(3 + -1x) -6 + 6x = -8 + 10x + (3 * 2 + -1x * 2) -6 + 6x = -8 + 10x + (6 + -2x) Reorder the terms: -6 + 6x = -8 + 6 + 10x + -2x Combine like terms: -8 + 6 = -2 -6 + 6x = -2 + 10x + -2x Combine like terms: 10x + -2x = 8x -6 + 6x = -2 + 8x Solving -6 + 6x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 6x + -8x = -2 + 8x + -8x Combine like terms: 6x + -8x = -2x -6 + -2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -2x = -2 + 0 -6 + -2x = -2 Add '6' to each side of the equation. -6 + 6 + -2x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -2 + 6 -2x = -2 + 6 Combine like terms: -2 + 6 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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