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Simplifying 10x + 4 + 4 + -3x + -2 = 3x + -9 + -1x + 15 Reorder the terms: 4 + 4 + -2 + 10x + -3x = 3x + -9 + -1x + 15 Combine like terms: 4 + 4 = 8 8 + -2 + 10x + -3x = 3x + -9 + -1x + 15 Combine like terms: 8 + -2 = 6 6 + 10x + -3x = 3x + -9 + -1x + 15 Combine like terms: 10x + -3x = 7x 6 + 7x = 3x + -9 + -1x + 15 Reorder the terms: 6 + 7x = -9 + 15 + 3x + -1x Combine like terms: -9 + 15 = 6 6 + 7x = 6 + 3x + -1x Combine like terms: 3x + -1x = 2x 6 + 7x = 6 + 2x Add '-6' to each side of the equation. 6 + -6 + 7x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 0 + 7x = 6 + -6 + 2x 7x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 7x = 0 + 2x 7x = 2x Solving 7x = 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. 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x 5x = 2x + -2x Combine like terms: 2x + -2x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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