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Simplifying 4x + -2 + 6 + -5x = 10 + -3 + 2x Reorder the terms: -2 + 6 + 4x + -5x = 10 + -3 + 2x Combine like terms: -2 + 6 = 4 4 + 4x + -5x = 10 + -3 + 2x Combine like terms: 4x + -5x = -1x 4 + -1x = 10 + -3 + 2x Combine like terms: 10 + -3 = 7 4 + -1x = 7 + 2x Solving 4 + -1x = 7 + 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. 4 + -1x + -2x = 7 + 2x + -2x Combine like terms: -1x + -2x = -3x 4 + -3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -3x = 7 + 0 4 + -3x = 7 Add '-4' to each side of the equation. 4 + -4 + -3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 7 + -4 -3x = 7 + -4 Combine like terms: 7 + -4 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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