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Simplifying 3(x + -5) + -4(5x + 2) = x + -23 Reorder the terms: 3(-5 + x) + -4(5x + 2) = x + -23 (-5 * 3 + x * 3) + -4(5x + 2) = x + -23 (-15 + 3x) + -4(5x + 2) = x + -23 Reorder the terms: -15 + 3x + -4(2 + 5x) = x + -23 -15 + 3x + (2 * -4 + 5x * -4) = x + -23 -15 + 3x + (-8 + -20x) = x + -23 Reorder the terms: -15 + -8 + 3x + -20x = x + -23 Combine like terms: -15 + -8 = -23 -23 + 3x + -20x = x + -23 Combine like terms: 3x + -20x = -17x -23 + -17x = x + -23 Reorder the terms: -23 + -17x = -23 + x Add '23' to each side of the equation. -23 + 23 + -17x = -23 + 23 + x Combine like terms: -23 + 23 = 0 0 + -17x = -23 + 23 + x -17x = -23 + 23 + x Combine like terms: -23 + 23 = 0 -17x = 0 + x -17x = x Solving -17x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17x + -1x = x + -1x Combine like terms: -17x + -1x = -18x -18x = x + -1x Combine like terms: x + -1x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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