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Simplifying 6(3x + -6) + -5(x + 2) = 6x + -112 + x Reorder the terms: 6(-6 + 3x) + -5(x + 2) = 6x + -112 + x (-6 * 6 + 3x * 6) + -5(x + 2) = 6x + -112 + x (-36 + 18x) + -5(x + 2) = 6x + -112 + x Reorder the terms: -36 + 18x + -5(2 + x) = 6x + -112 + x -36 + 18x + (2 * -5 + x * -5) = 6x + -112 + x -36 + 18x + (-10 + -5x) = 6x + -112 + x Reorder the terms: -36 + -10 + 18x + -5x = 6x + -112 + x Combine like terms: -36 + -10 = -46 -46 + 18x + -5x = 6x + -112 + x Combine like terms: 18x + -5x = 13x -46 + 13x = 6x + -112 + x Reorder the terms: -46 + 13x = -112 + 6x + x Combine like terms: 6x + x = 7x -46 + 13x = -112 + 7x Solving -46 + 13x = -112 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -46 + 13x + -7x = -112 + 7x + -7x Combine like terms: 13x + -7x = 6x -46 + 6x = -112 + 7x + -7x Combine like terms: 7x + -7x = 0 -46 + 6x = -112 + 0 -46 + 6x = -112 Add '46' to each side of the equation. -46 + 46 + 6x = -112 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = -112 + 46 6x = -112 + 46 Combine like terms: -112 + 46 = -66 6x = -66 Divide each side by '6'. x = -11 Simplifying x = -11
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