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Simplifying 57 + -1(4x + 4) = 4(x + 2) + x Reorder the terms: 57 + -1(4 + 4x) = 4(x + 2) + x 57 + (4 * -1 + 4x * -1) = 4(x + 2) + x 57 + (-4 + -4x) = 4(x + 2) + x Combine like terms: 57 + -4 = 53 53 + -4x = 4(x + 2) + x Reorder the terms: 53 + -4x = 4(2 + x) + x 53 + -4x = (2 * 4 + x * 4) + x 53 + -4x = (8 + 4x) + x Combine like terms: 4x + x = 5x 53 + -4x = 8 + 5x Solving 53 + -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. 53 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 53 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 53 + -9x = 8 + 0 53 + -9x = 8 Add '-53' to each side of the equation. 53 + -53 + -9x = 8 + -53 Combine like terms: 53 + -53 = 0 0 + -9x = 8 + -53 -9x = 8 + -53 Combine like terms: 8 + -53 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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