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Simplifying 4x + 5 + -7x = 15 + -12x + 10x + -10 Reorder the terms: 5 + 4x + -7x = 15 + -12x + 10x + -10 Combine like terms: 4x + -7x = -3x 5 + -3x = 15 + -12x + 10x + -10 Reorder the terms: 5 + -3x = 15 + -10 + -12x + 10x Combine like terms: 15 + -10 = 5 5 + -3x = 5 + -12x + 10x Combine like terms: -12x + 10x = -2x 5 + -3x = 5 + -2x Add '-5' to each side of the equation. 5 + -5 + -3x = 5 + -5 + -2x Combine like terms: 5 + -5 = 0 0 + -3x = 5 + -5 + -2x -3x = 5 + -5 + -2x Combine like terms: 5 + -5 = 0 -3x = 0 + -2x -3x = -2x Solving -3x = -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. -3x + 2x = -2x + 2x Combine like terms: -3x + 2x = -1x -1x = -2x + 2x Combine like terms: -2x + 2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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