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Simplifying 5(x + -6) + 6 = 7(x + 2) + -12 Reorder the terms: 5(-6 + x) + 6 = 7(x + 2) + -12 (-6 * 5 + x * 5) + 6 = 7(x + 2) + -12 (-30 + 5x) + 6 = 7(x + 2) + -12 Reorder the terms: -30 + 6 + 5x = 7(x + 2) + -12 Combine like terms: -30 + 6 = -24 -24 + 5x = 7(x + 2) + -12 Reorder the terms: -24 + 5x = 7(2 + x) + -12 -24 + 5x = (2 * 7 + x * 7) + -12 -24 + 5x = (14 + 7x) + -12 Reorder the terms: -24 + 5x = 14 + -12 + 7x Combine like terms: 14 + -12 = 2 -24 + 5x = 2 + 7x Solving -24 + 5x = 2 + 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 + 5x + -7x = 2 + 7x + -7x Combine like terms: 5x + -7x = -2x -24 + -2x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -2x = 2 + 0 -24 + -2x = 2 Add '24' to each side of the equation. -24 + 24 + -2x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 2 + 24 -2x = 2 + 24 Combine like terms: 2 + 24 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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