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Simplifying 7 + -57 + -5x = 10 + -1(6x + 7) Combine like terms: 7 + -57 = -50 -50 + -5x = 10 + -1(6x + 7) Reorder the terms: -50 + -5x = 10 + -1(7 + 6x) -50 + -5x = 10 + (7 * -1 + 6x * -1) -50 + -5x = 10 + (-7 + -6x) Combine like terms: 10 + -7 = 3 -50 + -5x = 3 + -6x Solving -50 + -5x = 3 + -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. -50 + -5x + 6x = 3 + -6x + 6x Combine like terms: -5x + 6x = 1x -50 + 1x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -50 + 1x = 3 + 0 -50 + 1x = 3 Add '50' to each side of the equation. -50 + 50 + 1x = 3 + 50 Combine like terms: -50 + 50 = 0 0 + 1x = 3 + 50 1x = 3 + 50 Combine like terms: 3 + 50 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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