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Simplifying 2(2x + -13) + 27 = 9(x + -10) + 11x Reorder the terms: 2(-13 + 2x) + 27 = 9(x + -10) + 11x (-13 * 2 + 2x * 2) + 27 = 9(x + -10) + 11x (-26 + 4x) + 27 = 9(x + -10) + 11x Reorder the terms: -26 + 27 + 4x = 9(x + -10) + 11x Combine like terms: -26 + 27 = 1 1 + 4x = 9(x + -10) + 11x Reorder the terms: 1 + 4x = 9(-10 + x) + 11x 1 + 4x = (-10 * 9 + x * 9) + 11x 1 + 4x = (-90 + 9x) + 11x Combine like terms: 9x + 11x = 20x 1 + 4x = -90 + 20x Solving 1 + 4x = -90 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1 + 4x + -20x = -90 + 20x + -20x Combine like terms: 4x + -20x = -16x 1 + -16x = -90 + 20x + -20x Combine like terms: 20x + -20x = 0 1 + -16x = -90 + 0 1 + -16x = -90 Add '-1' to each side of the equation. 1 + -1 + -16x = -90 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = -90 + -1 -16x = -90 + -1 Combine like terms: -90 + -1 = -91 -16x = -91 Divide each side by '-16'. x = 5.6875 Simplifying x = 5.6875
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