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Simplifying 5x + -10 = 2 + -2x + 10(x + 3) Reorder the terms: -10 + 5x = 2 + -2x + 10(x + 3) Reorder the terms: -10 + 5x = 2 + -2x + 10(3 + x) -10 + 5x = 2 + -2x + (3 * 10 + x * 10) -10 + 5x = 2 + -2x + (30 + 10x) Reorder the terms: -10 + 5x = 2 + 30 + -2x + 10x Combine like terms: 2 + 30 = 32 -10 + 5x = 32 + -2x + 10x Combine like terms: -2x + 10x = 8x -10 + 5x = 32 + 8x Solving -10 + 5x = 32 + 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. -10 + 5x + -8x = 32 + 8x + -8x Combine like terms: 5x + -8x = -3x -10 + -3x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -3x = 32 + 0 -10 + -3x = 32 Add '10' to each side of the equation. -10 + 10 + -3x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 32 + 10 -3x = 32 + 10 Combine like terms: 32 + 10 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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