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Simplifying 54 + -1(3x + 11) = 3(x + 5) + x Reorder the terms: 54 + -1(11 + 3x) = 3(x + 5) + x 54 + (11 * -1 + 3x * -1) = 3(x + 5) + x 54 + (-11 + -3x) = 3(x + 5) + x Combine like terms: 54 + -11 = 43 43 + -3x = 3(x + 5) + x Reorder the terms: 43 + -3x = 3(5 + x) + x 43 + -3x = (5 * 3 + x * 3) + x 43 + -3x = (15 + 3x) + x Combine like terms: 3x + x = 4x 43 + -3x = 15 + 4x Solving 43 + -3x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 43 + -3x + -4x = 15 + 4x + -4x Combine like terms: -3x + -4x = -7x 43 + -7x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 43 + -7x = 15 + 0 43 + -7x = 15 Add '-43' to each side of the equation. 43 + -43 + -7x = 15 + -43 Combine like terms: 43 + -43 = 0 0 + -7x = 15 + -43 -7x = 15 + -43 Combine like terms: 15 + -43 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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