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Simplifying 2(3x + -9) = 2x + -10(a + -1) Reorder the terms: 2(-9 + 3x) = 2x + -10(a + -1) (-9 * 2 + 3x * 2) = 2x + -10(a + -1) (-18 + 6x) = 2x + -10(a + -1) Reorder the terms: -18 + 6x = 2x + -10(-1 + a) -18 + 6x = 2x + (-1 * -10 + a * -10) -18 + 6x = 2x + (10 + -10a) Reorder the terms: -18 + 6x = 10 + -10a + 2x Solving -18 + 6x = 10 + -10a + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 6x + -2x = 10 + -10a + 2x + -2x Combine like terms: 6x + -2x = 4x -18 + 4x = 10 + -10a + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 4x = 10 + -10a + 0 -18 + 4x = 10 + -10a Add '18' to each side of the equation. -18 + 18 + 4x = 10 + 18 + -10a Combine like terms: -18 + 18 = 0 0 + 4x = 10 + 18 + -10a 4x = 10 + 18 + -10a Combine like terms: 10 + 18 = 28 4x = 28 + -10a Divide each side by '4'. x = 7 + -2.5a Simplifying x = 7 + -2.5a
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