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Simplifying 5x + -7x + 8 = x + -5 + -13 Reorder the terms: 8 + 5x + -7x = x + -5 + -13 Combine like terms: 5x + -7x = -2x 8 + -2x = x + -5 + -13 Reorder the terms: 8 + -2x = -5 + -13 + x Combine like terms: -5 + -13 = -18 8 + -2x = -18 + x Solving 8 + -2x = -18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -2x + -1x = -18 + x + -1x Combine like terms: -2x + -1x = -3x 8 + -3x = -18 + x + -1x Combine like terms: x + -1x = 0 8 + -3x = -18 + 0 8 + -3x = -18 Add '-8' to each side of the equation. 8 + -8 + -3x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -18 + -8 -3x = -18 + -8 Combine like terms: -18 + -8 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667
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