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Simplifying 2(3x + -6) + -6(x + 2) = 6x + 109 + x Reorder the terms: 2(-6 + 3x) + -6(x + 2) = 6x + 109 + x (-6 * 2 + 3x * 2) + -6(x + 2) = 6x + 109 + x (-12 + 6x) + -6(x + 2) = 6x + 109 + x Reorder the terms: -12 + 6x + -6(2 + x) = 6x + 109 + x -12 + 6x + (2 * -6 + x * -6) = 6x + 109 + x -12 + 6x + (-12 + -6x) = 6x + 109 + x Reorder the terms: -12 + -12 + 6x + -6x = 6x + 109 + x Combine like terms: -12 + -12 = -24 -24 + 6x + -6x = 6x + 109 + x Combine like terms: 6x + -6x = 0 -24 + 0 = 6x + 109 + x -24 = 6x + 109 + x Reorder the terms: -24 = 109 + 6x + x Combine like terms: 6x + x = 7x -24 = 109 + 7x Solving -24 = 109 + 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. -24 + -7x = 109 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -7x = 109 + 0 -24 + -7x = 109 Add '24' to each side of the equation. -24 + 24 + -7x = 109 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 109 + 24 -7x = 109 + 24 Combine like terms: 109 + 24 = 133 -7x = 133 Divide each side by '-7'. x = -19 Simplifying x = -19
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