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Simplifying 2(5x + -3) = 2(6x + -9) Reorder the terms: 2(-3 + 5x) = 2(6x + -9) (-3 * 2 + 5x * 2) = 2(6x + -9) (-6 + 10x) = 2(6x + -9) Reorder the terms: -6 + 10x = 2(-9 + 6x) -6 + 10x = (-9 * 2 + 6x * 2) -6 + 10x = (-18 + 12x) Solving -6 + 10x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 10x + -12x = -18 + 12x + -12x Combine like terms: 10x + -12x = -2x -6 + -2x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -2x = -18 + 0 -6 + -2x = -18 Add '6' to each side of the equation. -6 + 6 + -2x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -18 + 6 -2x = -18 + 6 Combine like terms: -18 + 6 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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