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Simplifying 24(x + -3) + 2x = 37 + -1(x + -2) Reorder the terms: 24(-3 + x) + 2x = 37 + -1(x + -2) (-3 * 24 + x * 24) + 2x = 37 + -1(x + -2) (-72 + 24x) + 2x = 37 + -1(x + -2) Combine like terms: 24x + 2x = 26x -72 + 26x = 37 + -1(x + -2) Reorder the terms: -72 + 26x = 37 + -1(-2 + x) -72 + 26x = 37 + (-2 * -1 + x * -1) -72 + 26x = 37 + (2 + -1x) Combine like terms: 37 + 2 = 39 -72 + 26x = 39 + -1x Solving -72 + 26x = 39 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -72 + 26x + x = 39 + -1x + x Combine like terms: 26x + x = 27x -72 + 27x = 39 + -1x + x Combine like terms: -1x + x = 0 -72 + 27x = 39 + 0 -72 + 27x = 39 Add '72' to each side of the equation. -72 + 72 + 27x = 39 + 72 Combine like terms: -72 + 72 = 0 0 + 27x = 39 + 72 27x = 39 + 72 Combine like terms: 39 + 72 = 111 27x = 111 Divide each side by '27'. x = 4.111111111 Simplifying x = 4.111111111
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