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Simplifying 4x + -2 + -3x + 8 = 2x + -4 + 5x Reorder the terms: -2 + 8 + 4x + -3x = 2x + -4 + 5x Combine like terms: -2 + 8 = 6 6 + 4x + -3x = 2x + -4 + 5x Combine like terms: 4x + -3x = 1x 6 + 1x = 2x + -4 + 5x Reorder the terms: 6 + 1x = -4 + 2x + 5x Combine like terms: 2x + 5x = 7x 6 + 1x = -4 + 7x Solving 6 + 1x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 1x + -7x = -4 + 7x + -7x Combine like terms: 1x + -7x = -6x 6 + -6x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -6x = -4 + 0 6 + -6x = -4 Add '-6' to each side of the equation. 6 + -6 + -6x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -4 + -6 -6x = -4 + -6 Combine like terms: -4 + -6 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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