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Simplifying 54 = -1(5x + 2) + -3(7 + 2x) Reorder the terms: 54 = -1(2 + 5x) + -3(7 + 2x) 54 = (2 * -1 + 5x * -1) + -3(7 + 2x) 54 = (-2 + -5x) + -3(7 + 2x) 54 = -2 + -5x + (7 * -3 + 2x * -3) 54 = -2 + -5x + (-21 + -6x) Reorder the terms: 54 = -2 + -21 + -5x + -6x Combine like terms: -2 + -21 = -23 54 = -23 + -5x + -6x Combine like terms: -5x + -6x = -11x 54 = -23 + -11x Solving 54 = -23 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 54 + 11x = -23 + -11x + 11x Combine like terms: -11x + 11x = 0 54 + 11x = -23 + 0 54 + 11x = -23 Add '-54' to each side of the equation. 54 + -54 + 11x = -23 + -54 Combine like terms: 54 + -54 = 0 0 + 11x = -23 + -54 11x = -23 + -54 Combine like terms: -23 + -54 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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