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Simplifying 54 + -1(18 + -4x) = 36 + -1(2x + -15) 54 + (18 * -1 + -4x * -1) = 36 + -1(2x + -15) 54 + (-18 + 4x) = 36 + -1(2x + -15) Combine like terms: 54 + -18 = 36 36 + 4x = 36 + -1(2x + -15) Reorder the terms: 36 + 4x = 36 + -1(-15 + 2x) 36 + 4x = 36 + (-15 * -1 + 2x * -1) 36 + 4x = 36 + (15 + -2x) Combine like terms: 36 + 15 = 51 36 + 4x = 51 + -2x Solving 36 + 4x = 51 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 36 + 4x + 2x = 51 + -2x + 2x Combine like terms: 4x + 2x = 6x 36 + 6x = 51 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 6x = 51 + 0 36 + 6x = 51 Add '-36' to each side of the equation. 36 + -36 + 6x = 51 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 51 + -36 6x = 51 + -36 Combine like terms: 51 + -36 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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