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Simplifying 42 + -1(2x + 3) + 2(x + 7) = x Reorder the terms: 42 + -1(3 + 2x) + 2(x + 7) = x 42 + (3 * -1 + 2x * -1) + 2(x + 7) = x 42 + (-3 + -2x) + 2(x + 7) = x Reorder the terms: 42 + -3 + -2x + 2(7 + x) = x 42 + -3 + -2x + (7 * 2 + x * 2) = x 42 + -3 + -2x + (14 + 2x) = x Reorder the terms: 42 + -3 + 14 + -2x + 2x = x Combine like terms: 42 + -3 = 39 39 + 14 + -2x + 2x = x Combine like terms: 39 + 14 = 53 53 + -2x + 2x = x Combine like terms: -2x + 2x = 0 53 + 0 = x 53 = x Solving 53 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 53 + -1x = x + -1x Combine like terms: x + -1x = 0 53 + -1x = 0 Add '-53' to each side of the equation. 53 + -53 + -1x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -1x = 0 + -53 -1x = 0 + -53 Combine like terms: 0 + -53 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53
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