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Simplifying 5(x + -2) + -3(x + 1) = 0 Reorder the terms: 5(-2 + x) + -3(x + 1) = 0 (-2 * 5 + x * 5) + -3(x + 1) = 0 (-10 + 5x) + -3(x + 1) = 0 Reorder the terms: -10 + 5x + -3(1 + x) = 0 -10 + 5x + (1 * -3 + x * -3) = 0 -10 + 5x + (-3 + -3x) = 0 Reorder the terms: -10 + -3 + 5x + -3x = 0 Combine like terms: -10 + -3 = -13 -13 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -13 + 2x = 0 Solving -13 + 2x = 0 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 + 2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 0 + 13 2x = 0 + 13 Combine like terms: 0 + 13 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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