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Simplifying 65 + -1(4x + 11) = 4(x + 9) + x Reorder the terms: 65 + -1(11 + 4x) = 4(x + 9) + x 65 + (11 * -1 + 4x * -1) = 4(x + 9) + x 65 + (-11 + -4x) = 4(x + 9) + x Combine like terms: 65 + -11 = 54 54 + -4x = 4(x + 9) + x Reorder the terms: 54 + -4x = 4(9 + x) + x 54 + -4x = (9 * 4 + x * 4) + x 54 + -4x = (36 + 4x) + x Combine like terms: 4x + x = 5x 54 + -4x = 36 + 5x Solving 54 + -4x = 36 + 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. 54 + -4x + -5x = 36 + 5x + -5x Combine like terms: -4x + -5x = -9x 54 + -9x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + -9x = 36 + 0 54 + -9x = 36 Add '-54' to each side of the equation. 54 + -54 + -9x = 36 + -54 Combine like terms: 54 + -54 = 0 0 + -9x = 36 + -54 -9x = 36 + -54 Combine like terms: 36 + -54 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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