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Simplifying -5(x + 4) + 6x = 7x + 8 Reorder the terms: -5(4 + x) + 6x = 7x + 8 (4 * -5 + x * -5) + 6x = 7x + 8 (-20 + -5x) + 6x = 7x + 8 Combine like terms: -5x + 6x = 1x -20 + 1x = 7x + 8 Reorder the terms: -20 + 1x = 8 + 7x Solving -20 + 1x = 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. -20 + 1x + -7x = 8 + 7x + -7x Combine like terms: 1x + -7x = -6x -20 + -6x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -6x = 8 + 0 -20 + -6x = 8 Add '20' to each side of the equation. -20 + 20 + -6x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = 8 + 20 -6x = 8 + 20 Combine like terms: 8 + 20 = 28 -6x = 28 Divide each side by '-6'. x = -4.666666667 Simplifying x = -4.666666667
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