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Simplifying 3x + -5(x + 2) = 8x + 10 Reorder the terms: 3x + -5(2 + x) = 8x + 10 3x + (2 * -5 + x * -5) = 8x + 10 3x + (-10 + -5x) = 8x + 10 Reorder the terms: -10 + 3x + -5x = 8x + 10 Combine like terms: 3x + -5x = -2x -10 + -2x = 8x + 10 Reorder the terms: -10 + -2x = 10 + 8x Solving -10 + -2x = 10 + 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 + -2x + -8x = 10 + 8x + -8x Combine like terms: -2x + -8x = -10x -10 + -10x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -10x = 10 + 0 -10 + -10x = 10 Add '10' to each side of the equation. -10 + 10 + -10x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 10 + 10 -10x = 10 + 10 Combine like terms: 10 + 10 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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