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Simplifying 4x + 2 + -5x = 6x + 10 Reorder the terms: 2 + 4x + -5x = 6x + 10 Combine like terms: 4x + -5x = -1x 2 + -1x = 6x + 10 Reorder the terms: 2 + -1x = 10 + 6x Solving 2 + -1x = 10 + 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. 2 + -1x + -6x = 10 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = 10 + 0 2 + -7x = 10 Add '-2' to each side of the equation. 2 + -2 + -7x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 10 + -2 -7x = 10 + -2 Combine like terms: 10 + -2 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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