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Simplifying 3(x + -4) + 2x + -5 = 18 Reorder the terms: 3(-4 + x) + 2x + -5 = 18 (-4 * 3 + x * 3) + 2x + -5 = 18 (-12 + 3x) + 2x + -5 = 18 Reorder the terms: -12 + -5 + 3x + 2x = 18 Combine like terms: -12 + -5 = -17 -17 + 3x + 2x = 18 Combine like terms: 3x + 2x = 5x -17 + 5x = 18 Solving -17 + 5x = 18 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 + 5x = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 18 + 17 5x = 18 + 17 Combine like terms: 18 + 17 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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