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Simplifying 54 = 2x + 2(4x + -13) Reorder the terms: 54 = 2x + 2(-13 + 4x) 54 = 2x + (-13 * 2 + 4x * 2) 54 = 2x + (-26 + 8x) Reorder the terms: 54 = -26 + 2x + 8x Combine like terms: 2x + 8x = 10x 54 = -26 + 10x Solving 54 = -26 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 54 + -10x = -26 + 10x + -10x Combine like terms: 10x + -10x = 0 54 + -10x = -26 + 0 54 + -10x = -26 Add '-54' to each side of the equation. 54 + -54 + -10x = -26 + -54 Combine like terms: 54 + -54 = 0 0 + -10x = -26 + -54 -10x = -26 + -54 Combine like terms: -26 + -54 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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