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Simplifying 11x + -2(2x + 5) = 54 + -1x Reorder the terms: 11x + -2(5 + 2x) = 54 + -1x 11x + (5 * -2 + 2x * -2) = 54 + -1x 11x + (-10 + -4x) = 54 + -1x Reorder the terms: -10 + 11x + -4x = 54 + -1x Combine like terms: 11x + -4x = 7x -10 + 7x = 54 + -1x Solving -10 + 7x = 54 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 7x + x = 54 + -1x + x Combine like terms: 7x + x = 8x -10 + 8x = 54 + -1x + x Combine like terms: -1x + x = 0 -10 + 8x = 54 + 0 -10 + 8x = 54 Add '10' to each side of the equation. -10 + 10 + 8x = 54 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 54 + 10 8x = 54 + 10 Combine like terms: 54 + 10 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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