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Simplifying 6(x + -5) = 10 + -1(x + -2) Reorder the terms: 6(-5 + x) = 10 + -1(x + -2) (-5 * 6 + x * 6) = 10 + -1(x + -2) (-30 + 6x) = 10 + -1(x + -2) Reorder the terms: -30 + 6x = 10 + -1(-2 + x) -30 + 6x = 10 + (-2 * -1 + x * -1) -30 + 6x = 10 + (2 + -1x) Combine like terms: 10 + 2 = 12 -30 + 6x = 12 + -1x Solving -30 + 6x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -30 + 6x + x = 12 + -1x + x Combine like terms: 6x + x = 7x -30 + 7x = 12 + -1x + x Combine like terms: -1x + x = 0 -30 + 7x = 12 + 0 -30 + 7x = 12 Add '30' to each side of the equation. -30 + 30 + 7x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 12 + 30 7x = 12 + 30 Combine like terms: 12 + 30 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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