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