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Simplifying 4x + 10 = 5x + -2 Reorder the terms: 10 + 4x = 5x + -2 Reorder the terms: 10 + 4x = -2 + 5x Solving 10 + 4x = -2 + 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. 10 + 4x + -5x = -2 + 5x + -5x Combine like terms: 4x + -5x = -1x 10 + -1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -1x = -2 + 0 10 + -1x = -2 Add '-10' to each side of the equation. 10 + -10 + -1x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -2 + -10 -1x = -2 + -10 Combine like terms: -2 + -10 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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