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Simplifying 5(x + -3) + -2(2x + 1) = 0 Reorder the terms: 5(-3 + x) + -2(2x + 1) = 0 (-3 * 5 + x * 5) + -2(2x + 1) = 0 (-15 + 5x) + -2(2x + 1) = 0 Reorder the terms: -15 + 5x + -2(1 + 2x) = 0 -15 + 5x + (1 * -2 + 2x * -2) = 0 -15 + 5x + (-2 + -4x) = 0 Reorder the terms: -15 + -2 + 5x + -4x = 0 Combine like terms: -15 + -2 = -17 -17 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x -17 + 1x = 0 Solving -17 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 0 + 17 1x = 0 + 17 Combine like terms: 0 + 17 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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