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Simplifying 5x + -8 + -6x + 12 = 3x + 10 Reorder the terms: -8 + 12 + 5x + -6x = 3x + 10 Combine like terms: -8 + 12 = 4 4 + 5x + -6x = 3x + 10 Combine like terms: 5x + -6x = -1x 4 + -1x = 3x + 10 Reorder the terms: 4 + -1x = 10 + 3x Solving 4 + -1x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -1x + -3x = 10 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = 10 + 0 4 + -4x = 10 Add '-4' to each side of the equation. 4 + -4 + -4x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 10 + -4 -4x = 10 + -4 Combine like terms: 10 + -4 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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