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Simplifying 4x + 12 + -2 + -6x + -8 = 5x + 10 + -3x + 3 Reorder the terms: 12 + -2 + -8 + 4x + -6x = 5x + 10 + -3x + 3 Combine like terms: 12 + -2 = 10 10 + -8 + 4x + -6x = 5x + 10 + -3x + 3 Combine like terms: 10 + -8 = 2 2 + 4x + -6x = 5x + 10 + -3x + 3 Combine like terms: 4x + -6x = -2x 2 + -2x = 5x + 10 + -3x + 3 Reorder the terms: 2 + -2x = 10 + 3 + 5x + -3x Combine like terms: 10 + 3 = 13 2 + -2x = 13 + 5x + -3x Combine like terms: 5x + -3x = 2x 2 + -2x = 13 + 2x Solving 2 + -2x = 13 + 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 + -2x + -2x = 13 + 2x + -2x Combine like terms: -2x + -2x = -4x 2 + -4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -4x = 13 + 0 2 + -4x = 13 Add '-2' to each side of the equation. 2 + -2 + -4x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 13 + -2 -4x = 13 + -2 Combine like terms: 13 + -2 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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