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Simplifying 4x + -1(63 + -27x) = (120 + -48x) 4x + (63 * -1 + -27x * -1) = (120 + -48x) 4x + (-63 + 27x) = (120 + -48x) Reorder the terms: -63 + 4x + 27x = (120 + -48x) Combine like terms: 4x + 27x = 31x -63 + 31x = (120 + -48x) Remove parenthesis around (120 + -48x) -63 + 31x = 120 + -48x Solving -63 + 31x = 120 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -63 + 31x + 48x = 120 + -48x + 48x Combine like terms: 31x + 48x = 79x -63 + 79x = 120 + -48x + 48x Combine like terms: -48x + 48x = 0 -63 + 79x = 120 + 0 -63 + 79x = 120 Add '63' to each side of the equation. -63 + 63 + 79x = 120 + 63 Combine like terms: -63 + 63 = 0 0 + 79x = 120 + 63 79x = 120 + 63 Combine like terms: 120 + 63 = 183 79x = 183 Divide each side by '79'. x = 2.316455696 Simplifying x = 2.316455696
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