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Simplifying 67 + -1(4x + 11) = 4(x + 5) + x Reorder the terms: 67 + -1(11 + 4x) = 4(x + 5) + x 67 + (11 * -1 + 4x * -1) = 4(x + 5) + x 67 + (-11 + -4x) = 4(x + 5) + x Combine like terms: 67 + -11 = 56 56 + -4x = 4(x + 5) + x Reorder the terms: 56 + -4x = 4(5 + x) + x 56 + -4x = (5 * 4 + x * 4) + x 56 + -4x = (20 + 4x) + x Combine like terms: 4x + x = 5x 56 + -4x = 20 + 5x Solving 56 + -4x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 56 + -4x + -5x = 20 + 5x + -5x Combine like terms: -4x + -5x = -9x 56 + -9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 56 + -9x = 20 + 0 56 + -9x = 20 Add '-56' to each side of the equation. 56 + -56 + -9x = 20 + -56 Combine like terms: 56 + -56 = 0 0 + -9x = 20 + -56 -9x = 20 + -56 Combine like terms: 20 + -56 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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