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Simplifying 6(x + -3) + -1(6x + 6) = 2(4x + 5) Reorder the terms: 6(-3 + x) + -1(6x + 6) = 2(4x + 5) (-3 * 6 + x * 6) + -1(6x + 6) = 2(4x + 5) (-18 + 6x) + -1(6x + 6) = 2(4x + 5) Reorder the terms: -18 + 6x + -1(6 + 6x) = 2(4x + 5) -18 + 6x + (6 * -1 + 6x * -1) = 2(4x + 5) -18 + 6x + (-6 + -6x) = 2(4x + 5) Reorder the terms: -18 + -6 + 6x + -6x = 2(4x + 5) Combine like terms: -18 + -6 = -24 -24 + 6x + -6x = 2(4x + 5) Combine like terms: 6x + -6x = 0 -24 + 0 = 2(4x + 5) -24 = 2(4x + 5) Reorder the terms: -24 = 2(5 + 4x) -24 = (5 * 2 + 4x * 2) -24 = (10 + 8x) Solving -24 = 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. -24 + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -8x = 10 + 0 -24 + -8x = 10 Add '24' to each side of the equation. -24 + 24 + -8x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 10 + 24 -8x = 10 + 24 Combine like terms: 10 + 24 = 34 -8x = 34 Divide each side by '-8'. x = -4.25 Simplifying x = -4.25
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