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Simplifying 5(x + -6) + 8 = 7x + 8 Reorder the terms: 5(-6 + x) + 8 = 7x + 8 (-6 * 5 + x * 5) + 8 = 7x + 8 (-30 + 5x) + 8 = 7x + 8 Reorder the terms: -30 + 8 + 5x = 7x + 8 Combine like terms: -30 + 8 = -22 -22 + 5x = 7x + 8 Reorder the terms: -22 + 5x = 8 + 7x Solving -22 + 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. -22 + 5x + -7x = 8 + 7x + -7x Combine like terms: 5x + -7x = -2x -22 + -2x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + -2x = 8 + 0 -22 + -2x = 8 Add '22' to each side of the equation. -22 + 22 + -2x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = 8 + 22 -2x = 8 + 22 Combine like terms: 8 + 22 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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