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Simplifying 5(x + 2) + -4(x + 3) = 10 Reorder the terms: 5(2 + x) + -4(x + 3) = 10 (2 * 5 + x * 5) + -4(x + 3) = 10 (10 + 5x) + -4(x + 3) = 10 Reorder the terms: 10 + 5x + -4(3 + x) = 10 10 + 5x + (3 * -4 + x * -4) = 10 10 + 5x + (-12 + -4x) = 10 Reorder the terms: 10 + -12 + 5x + -4x = 10 Combine like terms: 10 + -12 = -2 -2 + 5x + -4x = 10 Combine like terms: 5x + -4x = 1x -2 + 1x = 10 Solving -2 + 1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 10 + 2 1x = 10 + 2 Combine like terms: 10 + 2 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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