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Simplifying 5(x + -4) + -11 = 14x + -67 Reorder the terms: 5(-4 + x) + -11 = 14x + -67 (-4 * 5 + x * 5) + -11 = 14x + -67 (-20 + 5x) + -11 = 14x + -67 Reorder the terms: -20 + -11 + 5x = 14x + -67 Combine like terms: -20 + -11 = -31 -31 + 5x = 14x + -67 Reorder the terms: -31 + 5x = -67 + 14x Solving -31 + 5x = -67 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -31 + 5x + -14x = -67 + 14x + -14x Combine like terms: 5x + -14x = -9x -31 + -9x = -67 + 14x + -14x Combine like terms: 14x + -14x = 0 -31 + -9x = -67 + 0 -31 + -9x = -67 Add '31' to each side of the equation. -31 + 31 + -9x = -67 + 31 Combine like terms: -31 + 31 = 0 0 + -9x = -67 + 31 -9x = -67 + 31 Combine like terms: -67 + 31 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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