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Simplifying 3x + -4 + -2x + 10 = 6x + -2x + 10 Reorder the terms: -4 + 10 + 3x + -2x = 6x + -2x + 10 Combine like terms: -4 + 10 = 6 6 + 3x + -2x = 6x + -2x + 10 Combine like terms: 3x + -2x = 1x 6 + 1x = 6x + -2x + 10 Reorder the terms: 6 + 1x = 10 + 6x + -2x Combine like terms: 6x + -2x = 4x 6 + 1x = 10 + 4x Solving 6 + 1x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 1x + -4x = 10 + 4x + -4x Combine like terms: 1x + -4x = -3x 6 + -3x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -3x = 10 + 0 6 + -3x = 10 Add '-6' to each side of the equation. 6 + -6 + -3x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 10 + -6 -3x = 10 + -6 Combine like terms: 10 + -6 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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