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Simplifying 5x + 6 + -4x = 8 + 2x + -7 Reorder the terms: 6 + 5x + -4x = 8 + 2x + -7 Combine like terms: 5x + -4x = 1x 6 + 1x = 8 + 2x + -7 Reorder the terms: 6 + 1x = 8 + -7 + 2x Combine like terms: 8 + -7 = 1 6 + 1x = 1 + 2x Solving 6 + 1x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 1x + -2x = 1 + 2x + -2x Combine like terms: 1x + -2x = -1x 6 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = 1 + 0 6 + -1x = 1 Add '-6' to each side of the equation. 6 + -6 + -1x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 1 + -6 -1x = 1 + -6 Combine like terms: 1 + -6 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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