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Simplifying 57 + -1(3x + 4) = 5(x + 7) + x Reorder the terms: 57 + -1(4 + 3x) = 5(x + 7) + x 57 + (4 * -1 + 3x * -1) = 5(x + 7) + x 57 + (-4 + -3x) = 5(x + 7) + x Combine like terms: 57 + -4 = 53 53 + -3x = 5(x + 7) + x Reorder the terms: 53 + -3x = 5(7 + x) + x 53 + -3x = (7 * 5 + x * 5) + x 53 + -3x = (35 + 5x) + x Combine like terms: 5x + x = 6x 53 + -3x = 35 + 6x Solving 53 + -3x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 53 + -3x + -6x = 35 + 6x + -6x Combine like terms: -3x + -6x = -9x 53 + -9x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 53 + -9x = 35 + 0 53 + -9x = 35 Add '-53' to each side of the equation. 53 + -53 + -9x = 35 + -53 Combine like terms: 53 + -53 = 0 0 + -9x = 35 + -53 -9x = 35 + -53 Combine like terms: 35 + -53 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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