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Simplifying 5x + -2(3x + -9) = 5(2x + -9) + 8x Reorder the terms: 5x + -2(-9 + 3x) = 5(2x + -9) + 8x 5x + (-9 * -2 + 3x * -2) = 5(2x + -9) + 8x 5x + (18 + -6x) = 5(2x + -9) + 8x Reorder the terms: 18 + 5x + -6x = 5(2x + -9) + 8x Combine like terms: 5x + -6x = -1x 18 + -1x = 5(2x + -9) + 8x Reorder the terms: 18 + -1x = 5(-9 + 2x) + 8x 18 + -1x = (-9 * 5 + 2x * 5) + 8x 18 + -1x = (-45 + 10x) + 8x Combine like terms: 10x + 8x = 18x 18 + -1x = -45 + 18x Solving 18 + -1x = -45 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 18 + -1x + -18x = -45 + 18x + -18x Combine like terms: -1x + -18x = -19x 18 + -19x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 18 + -19x = -45 + 0 18 + -19x = -45 Add '-18' to each side of the equation. 18 + -18 + -19x = -45 + -18 Combine like terms: 18 + -18 = 0 0 + -19x = -45 + -18 -19x = -45 + -18 Combine like terms: -45 + -18 = -63 -19x = -63 Divide each side by '-19'. x = 3.315789474 Simplifying x = 3.315789474
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