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Simplifying 3(x + -5) + -2(2x + 1) = 0 Reorder the terms: 3(-5 + x) + -2(2x + 1) = 0 (-5 * 3 + x * 3) + -2(2x + 1) = 0 (-15 + 3x) + -2(2x + 1) = 0 Reorder the terms: -15 + 3x + -2(1 + 2x) = 0 -15 + 3x + (1 * -2 + 2x * -2) = 0 -15 + 3x + (-2 + -4x) = 0 Reorder the terms: -15 + -2 + 3x + -4x = 0 Combine like terms: -15 + -2 = -17 -17 + 3x + -4x = 0 Combine like terms: 3x + -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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