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Simplifying 2x + 4 + -3x + -6x + 4x + -2 + 2x = -10 + 3x + 5 + -8x + 4x + 3x Reorder the terms: 4 + -2 + 2x + -3x + -6x + 4x + 2x = -10 + 3x + 5 + -8x + 4x + 3x Combine like terms: 4 + -2 = 2 2 + 2x + -3x + -6x + 4x + 2x = -10 + 3x + 5 + -8x + 4x + 3x Combine like terms: 2x + -3x = -1x 2 + -1x + -6x + 4x + 2x = -10 + 3x + 5 + -8x + 4x + 3x Combine like terms: -1x + -6x = -7x 2 + -7x + 4x + 2x = -10 + 3x + 5 + -8x + 4x + 3x Combine like terms: -7x + 4x = -3x 2 + -3x + 2x = -10 + 3x + 5 + -8x + 4x + 3x Combine like terms: -3x + 2x = -1x 2 + -1x = -10 + 3x + 5 + -8x + 4x + 3x Reorder the terms: 2 + -1x = -10 + 5 + 3x + -8x + 4x + 3x Combine like terms: -10 + 5 = -5 2 + -1x = -5 + 3x + -8x + 4x + 3x Combine like terms: 3x + -8x = -5x 2 + -1x = -5 + -5x + 4x + 3x Combine like terms: -5x + 4x = -1x 2 + -1x = -5 + -1x + 3x Combine like terms: -1x + 3x = 2x 2 + -1x = -5 + 2x Solving 2 + -1x = -5 + 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. 2 + -1x + -2x = -5 + 2x + -2x Combine like terms: -1x + -2x = -3x 2 + -3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -3x = -5 + 0 2 + -3x = -5 Add '-2' to each side of the equation. 2 + -2 + -3x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -5 + -2 -3x = -5 + -2 Combine like terms: -5 + -2 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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