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Simplifying 8x + 31 + -2(6 + -5x) = 18(4 + -5x) + 27x + 28 8x + 31 + (6 * -2 + -5x * -2) = 18(4 + -5x) + 27x + 28 8x + 31 + (-12 + 10x) = 18(4 + -5x) + 27x + 28 Reorder the terms: 31 + -12 + 8x + 10x = 18(4 + -5x) + 27x + 28 Combine like terms: 31 + -12 = 19 19 + 8x + 10x = 18(4 + -5x) + 27x + 28 Combine like terms: 8x + 10x = 18x 19 + 18x = 18(4 + -5x) + 27x + 28 19 + 18x = (4 * 18 + -5x * 18) + 27x + 28 19 + 18x = (72 + -90x) + 27x + 28 Reorder the terms: 19 + 18x = 72 + 28 + -90x + 27x Combine like terms: 72 + 28 = 100 19 + 18x = 100 + -90x + 27x Combine like terms: -90x + 27x = -63x 19 + 18x = 100 + -63x Solving 19 + 18x = 100 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 19 + 18x + 63x = 100 + -63x + 63x Combine like terms: 18x + 63x = 81x 19 + 81x = 100 + -63x + 63x Combine like terms: -63x + 63x = 0 19 + 81x = 100 + 0 19 + 81x = 100 Add '-19' to each side of the equation. 19 + -19 + 81x = 100 + -19 Combine like terms: 19 + -19 = 0 0 + 81x = 100 + -19 81x = 100 + -19 Combine like terms: 100 + -19 = 81 81x = 81 Divide each side by '81'. x = 1 Simplifying x = 1
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