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Simplifying 5(x + -6) + 6 = 7x + -8 Reorder the terms: 5(-6 + x) + 6 = 7x + -8 (-6 * 5 + x * 5) + 6 = 7x + -8 (-30 + 5x) + 6 = 7x + -8 Reorder the terms: -30 + 6 + 5x = 7x + -8 Combine like terms: -30 + 6 = -24 -24 + 5x = 7x + -8 Reorder the terms: -24 + 5x = -8 + 7x Solving -24 + 5x = -8 + 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 = -8 + 7x + -7x Combine like terms: 5x + -7x = -2x -24 + -2x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -2x = -8 + 0 -24 + -2x = -8 Add '24' to each side of the equation. -24 + 24 + -2x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -8 + 24 -2x = -8 + 24 Combine like terms: -8 + 24 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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