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Simplifying 3(x + -6) = 2x + -1(x + 10) Reorder the terms: 3(-6 + x) = 2x + -1(x + 10) (-6 * 3 + x * 3) = 2x + -1(x + 10) (-18 + 3x) = 2x + -1(x + 10) Reorder the terms: -18 + 3x = 2x + -1(10 + x) -18 + 3x = 2x + (10 * -1 + x * -1) -18 + 3x = 2x + (-10 + -1x) Reorder the terms: -18 + 3x = -10 + 2x + -1x Combine like terms: 2x + -1x = 1x -18 + 3x = -10 + 1x Solving -18 + 3x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 3x + -1x = -10 + 1x + -1x Combine like terms: 3x + -1x = 2x -18 + 2x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 -18 + 2x = -10 + 0 -18 + 2x = -10 Add '18' to each side of the equation. -18 + 18 + 2x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -10 + 18 2x = -10 + 18 Combine like terms: -10 + 18 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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