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Simplifying 5x + -2(2x + -9) = 3(2x + -9) + 6x Reorder the terms: 5x + -2(-9 + 2x) = 3(2x + -9) + 6x 5x + (-9 * -2 + 2x * -2) = 3(2x + -9) + 6x 5x + (18 + -4x) = 3(2x + -9) + 6x Reorder the terms: 18 + 5x + -4x = 3(2x + -9) + 6x Combine like terms: 5x + -4x = 1x 18 + 1x = 3(2x + -9) + 6x Reorder the terms: 18 + 1x = 3(-9 + 2x) + 6x 18 + 1x = (-9 * 3 + 2x * 3) + 6x 18 + 1x = (-27 + 6x) + 6x Combine like terms: 6x + 6x = 12x 18 + 1x = -27 + 12x Solving 18 + 1x = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 1x + -12x = -27 + 12x + -12x Combine like terms: 1x + -12x = -11x 18 + -11x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -11x = -27 + 0 18 + -11x = -27 Add '-18' to each side of the equation. 18 + -18 + -11x = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -27 + -18 -11x = -27 + -18 Combine like terms: -27 + -18 = -45 -11x = -45 Divide each side by '-11'. x = 4.090909091 Simplifying x = 4.090909091
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