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Simplifying 2(3x + -9) = 2x + -10(x + -1) Reorder the terms: 2(-9 + 3x) = 2x + -10(x + -1) (-9 * 2 + 3x * 2) = 2x + -10(x + -1) (-18 + 6x) = 2x + -10(x + -1) Reorder the terms: -18 + 6x = 2x + -10(-1 + x) -18 + 6x = 2x + (-1 * -10 + x * -10) -18 + 6x = 2x + (10 + -10x) Reorder the terms: -18 + 6x = 10 + 2x + -10x Combine like terms: 2x + -10x = -8x -18 + 6x = 10 + -8x Solving -18 + 6x = 10 + -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. -18 + 6x + 8x = 10 + -8x + 8x Combine like terms: 6x + 8x = 14x -18 + 14x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 14x = 10 + 0 -18 + 14x = 10 Add '18' to each side of the equation. -18 + 18 + 14x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 10 + 18 14x = 10 + 18 Combine like terms: 10 + 18 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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