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Simplifying 5(x + -6) + 4 = 7x + -8 Reorder the terms: 5(-6 + x) + 4 = 7x + -8 (-6 * 5 + x * 5) + 4 = 7x + -8 (-30 + 5x) + 4 = 7x + -8 Reorder the terms: -30 + 4 + 5x = 7x + -8 Combine like terms: -30 + 4 = -26 -26 + 5x = 7x + -8 Reorder the terms: -26 + 5x = -8 + 7x Solving -26 + 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. -26 + 5x + -7x = -8 + 7x + -7x Combine like terms: 5x + -7x = -2x -26 + -2x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + -2x = -8 + 0 -26 + -2x = -8 Add '26' to each side of the equation. -26 + 26 + -2x = -8 + 26 Combine like terms: -26 + 26 = 0 0 + -2x = -8 + 26 -2x = -8 + 26 Combine like terms: -8 + 26 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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