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Simplifying 10x + 4 = 5(x + 2) + -3(2 + -1x) Reorder the terms: 4 + 10x = 5(x + 2) + -3(2 + -1x) Reorder the terms: 4 + 10x = 5(2 + x) + -3(2 + -1x) 4 + 10x = (2 * 5 + x * 5) + -3(2 + -1x) 4 + 10x = (10 + 5x) + -3(2 + -1x) 4 + 10x = 10 + 5x + (2 * -3 + -1x * -3) 4 + 10x = 10 + 5x + (-6 + 3x) Reorder the terms: 4 + 10x = 10 + -6 + 5x + 3x Combine like terms: 10 + -6 = 4 4 + 10x = 4 + 5x + 3x Combine like terms: 5x + 3x = 8x 4 + 10x = 4 + 8x Add '-4' to each side of the equation. 4 + -4 + 10x = 4 + -4 + 8x Combine like terms: 4 + -4 = 0 0 + 10x = 4 + -4 + 8x 10x = 4 + -4 + 8x Combine like terms: 4 + -4 = 0 10x = 0 + 8x 10x = 8x Solving 10x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x 2x = 8x + -8x Combine like terms: 8x + -8x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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