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Simplifying 5x + -2(3x + 5) = 10x + 32 Reorder the terms: 5x + -2(5 + 3x) = 10x + 32 5x + (5 * -2 + 3x * -2) = 10x + 32 5x + (-10 + -6x) = 10x + 32 Reorder the terms: -10 + 5x + -6x = 10x + 32 Combine like terms: 5x + -6x = -1x -10 + -1x = 10x + 32 Reorder the terms: -10 + -1x = 32 + 10x Solving -10 + -1x = 32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + -1x + -10x = 32 + 10x + -10x Combine like terms: -1x + -10x = -11x -10 + -11x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -11x = 32 + 0 -10 + -11x = 32 Add '10' to each side of the equation. -10 + 10 + -11x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = 32 + 10 -11x = 32 + 10 Combine like terms: 32 + 10 = 42 -11x = 42 Divide each side by '-11'. x = -3.818181818 Simplifying x = -3.818181818
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