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Simplifying 5(x + -2) + (3x + -2) = 10 Reorder the terms: 5(-2 + x) + (3x + -2) = 10 (-2 * 5 + x * 5) + (3x + -2) = 10 (-10 + 5x) + (3x + -2) = 10 Reorder the terms: -10 + 5x + (-2 + 3x) = 10 Remove parenthesis around (-2 + 3x) -10 + 5x + -2 + 3x = 10 Reorder the terms: -10 + -2 + 5x + 3x = 10 Combine like terms: -10 + -2 = -12 -12 + 5x + 3x = 10 Combine like terms: 5x + 3x = 8x -12 + 8x = 10 Solving -12 + 8x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 10 + 12 8x = 10 + 12 Combine like terms: 10 + 12 = 22 8x = 22 Divide each side by '8'. x = 2.75 Simplifying x = 2.75
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