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Simplifying 5x + 3 + -8x + -2 = x + 9 + -7x Reorder the terms: 3 + -2 + 5x + -8x = x + 9 + -7x Combine like terms: 3 + -2 = 1 1 + 5x + -8x = x + 9 + -7x Combine like terms: 5x + -8x = -3x 1 + -3x = x + 9 + -7x Reorder the terms: 1 + -3x = 9 + x + -7x Combine like terms: x + -7x = -6x 1 + -3x = 9 + -6x Solving 1 + -3x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -3x + 6x = 9 + -6x + 6x Combine like terms: -3x + 6x = 3x 1 + 3x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 3x = 9 + 0 1 + 3x = 9 Add '-1' to each side of the equation. 1 + -1 + 3x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 9 + -1 3x = 9 + -1 Combine like terms: 9 + -1 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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