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Simplifying -6(x + -2) + -1(x + -3) = (2x + -8) + -9 Reorder the terms: -6(-2 + x) + -1(x + -3) = (2x + -8) + -9 (-2 * -6 + x * -6) + -1(x + -3) = (2x + -8) + -9 (12 + -6x) + -1(x + -3) = (2x + -8) + -9 Reorder the terms: 12 + -6x + -1(-3 + x) = (2x + -8) + -9 12 + -6x + (-3 * -1 + x * -1) = (2x + -8) + -9 12 + -6x + (3 + -1x) = (2x + -8) + -9 Reorder the terms: 12 + 3 + -6x + -1x = (2x + -8) + -9 Combine like terms: 12 + 3 = 15 15 + -6x + -1x = (2x + -8) + -9 Combine like terms: -6x + -1x = -7x 15 + -7x = (2x + -8) + -9 Reorder the terms: 15 + -7x = (-8 + 2x) + -9 Remove parenthesis around (-8 + 2x) 15 + -7x = -8 + 2x + -9 Reorder the terms: 15 + -7x = -8 + -9 + 2x Combine like terms: -8 + -9 = -17 15 + -7x = -17 + 2x Solving 15 + -7x = -17 + 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. 15 + -7x + -2x = -17 + 2x + -2x Combine like terms: -7x + -2x = -9x 15 + -9x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -9x = -17 + 0 15 + -9x = -17 Add '-15' to each side of the equation. 15 + -15 + -9x = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -17 + -15 -9x = -17 + -15 Combine like terms: -17 + -15 = -32 -9x = -32 Divide each side by '-9'. x = 3.555555556 Simplifying x = 3.555555556
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