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Simplifying 5(x + -6) + 8 = 7(x + 2) + -100 Reorder the terms: 5(-6 + x) + 8 = 7(x + 2) + -100 (-6 * 5 + x * 5) + 8 = 7(x + 2) + -100 (-30 + 5x) + 8 = 7(x + 2) + -100 Reorder the terms: -30 + 8 + 5x = 7(x + 2) + -100 Combine like terms: -30 + 8 = -22 -22 + 5x = 7(x + 2) + -100 Reorder the terms: -22 + 5x = 7(2 + x) + -100 -22 + 5x = (2 * 7 + x * 7) + -100 -22 + 5x = (14 + 7x) + -100 Reorder the terms: -22 + 5x = 14 + -100 + 7x Combine like terms: 14 + -100 = -86 -22 + 5x = -86 + 7x Solving -22 + 5x = -86 + 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 = -86 + 7x + -7x Combine like terms: 5x + -7x = -2x -22 + -2x = -86 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + -2x = -86 + 0 -22 + -2x = -86 Add '22' to each side of the equation. -22 + 22 + -2x = -86 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -86 + 22 -2x = -86 + 22 Combine like terms: -86 + 22 = -64 -2x = -64 Divide each side by '-2'. x = 32 Simplifying x = 32
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