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Simplifying 5(7 + -1x) + -4 = 3(3x + -5) + 18 (7 * 5 + -1x * 5) + -4 = 3(3x + -5) + 18 (35 + -5x) + -4 = 3(3x + -5) + 18 Reorder the terms: 35 + -4 + -5x = 3(3x + -5) + 18 Combine like terms: 35 + -4 = 31 31 + -5x = 3(3x + -5) + 18 Reorder the terms: 31 + -5x = 3(-5 + 3x) + 18 31 + -5x = (-5 * 3 + 3x * 3) + 18 31 + -5x = (-15 + 9x) + 18 Reorder the terms: 31 + -5x = -15 + 18 + 9x Combine like terms: -15 + 18 = 3 31 + -5x = 3 + 9x Solving 31 + -5x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 31 + -5x + -9x = 3 + 9x + -9x Combine like terms: -5x + -9x = -14x 31 + -14x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 31 + -14x = 3 + 0 31 + -14x = 3 Add '-31' to each side of the equation. 31 + -31 + -14x = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -14x = 3 + -31 -14x = 3 + -31 Combine like terms: 3 + -31 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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