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Simplifying 5(x + -2) + 3(x + -1) = 3 Reorder the terms: 5(-2 + x) + 3(x + -1) = 3 (-2 * 5 + x * 5) + 3(x + -1) = 3 (-10 + 5x) + 3(x + -1) = 3 Reorder the terms: -10 + 5x + 3(-1 + x) = 3 -10 + 5x + (-1 * 3 + x * 3) = 3 -10 + 5x + (-3 + 3x) = 3 Reorder the terms: -10 + -3 + 5x + 3x = 3 Combine like terms: -10 + -3 = -13 -13 + 5x + 3x = 3 Combine like terms: 5x + 3x = 8x -13 + 8x = 3 Solving -13 + 8x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 3 + 13 8x = 3 + 13 Combine like terms: 3 + 13 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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