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Simplifying 54 = 2(x + -2) + 2x + 2(x + -1(x + -5)) Reorder the terms: 54 = 2(-2 + x) + 2x + 2(x + -1(x + -5)) 54 = (-2 * 2 + x * 2) + 2x + 2(x + -1(x + -5)) 54 = (-4 + 2x) + 2x + 2(x + -1(x + -5)) Reorder the terms: 54 = -4 + 2x + 2x + 2(x + -1(-5 + x)) 54 = -4 + 2x + 2x + 2(x + (-5 * -1 + x * -1)) 54 = -4 + 2x + 2x + 2(x + (5 + -1x)) Reorder the terms: 54 = -4 + 2x + 2x + 2(5 + x + -1x) Combine like terms: x + -1x = 0 54 = -4 + 2x + 2x + 2(5 + 0) 54 = -4 + 2x + 2x + 2(5) Multiply 2 * 5 54 = -4 + 2x + 2x + 10 Reorder the terms: 54 = -4 + 10 + 2x + 2x Combine like terms: -4 + 10 = 6 54 = 6 + 2x + 2x Combine like terms: 2x + 2x = 4x 54 = 6 + 4x Solving 54 = 6 + 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. 54 + -4x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + -4x = 6 + 0 54 + -4x = 6 Add '-54' to each side of the equation. 54 + -54 + -4x = 6 + -54 Combine like terms: 54 + -54 = 0 0 + -4x = 6 + -54 -4x = 6 + -54 Combine like terms: 6 + -54 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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