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Simplifying 54 + -1(4x + 10) = 4(x + 2) + x Reorder the terms: 54 + -1(10 + 4x) = 4(x + 2) + x 54 + (10 * -1 + 4x * -1) = 4(x + 2) + x 54 + (-10 + -4x) = 4(x + 2) + x Combine like terms: 54 + -10 = 44 44 + -4x = 4(x + 2) + x Reorder the terms: 44 + -4x = 4(2 + x) + x 44 + -4x = (2 * 4 + x * 4) + x 44 + -4x = (8 + 4x) + x Combine like terms: 4x + x = 5x 44 + -4x = 8 + 5x Solving 44 + -4x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 44 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 44 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 44 + -9x = 8 + 0 44 + -9x = 8 Add '-44' to each side of the equation. 44 + -44 + -9x = 8 + -44 Combine like terms: 44 + -44 = 0 0 + -9x = 8 + -44 -9x = 8 + -44 Combine like terms: 8 + -44 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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