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Simplifying 10(x + -9) + -9(5 + -6x) = 2(4x + -1) + (1 + 2x) Reorder the terms: 10(-9 + x) + -9(5 + -6x) = 2(4x + -1) + (1 + 2x) (-9 * 10 + x * 10) + -9(5 + -6x) = 2(4x + -1) + (1 + 2x) (-90 + 10x) + -9(5 + -6x) = 2(4x + -1) + (1 + 2x) -90 + 10x + (5 * -9 + -6x * -9) = 2(4x + -1) + (1 + 2x) -90 + 10x + (-45 + 54x) = 2(4x + -1) + (1 + 2x) Reorder the terms: -90 + -45 + 10x + 54x = 2(4x + -1) + (1 + 2x) Combine like terms: -90 + -45 = -135 -135 + 10x + 54x = 2(4x + -1) + (1 + 2x) Combine like terms: 10x + 54x = 64x -135 + 64x = 2(4x + -1) + (1 + 2x) Reorder the terms: -135 + 64x = 2(-1 + 4x) + (1 + 2x) -135 + 64x = (-1 * 2 + 4x * 2) + (1 + 2x) -135 + 64x = (-2 + 8x) + (1 + 2x) Remove parenthesis around (1 + 2x) -135 + 64x = -2 + 8x + 1 + 2x Reorder the terms: -135 + 64x = -2 + 1 + 8x + 2x Combine like terms: -2 + 1 = -1 -135 + 64x = -1 + 8x + 2x Combine like terms: 8x + 2x = 10x -135 + 64x = -1 + 10x Solving -135 + 64x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -135 + 64x + -10x = -1 + 10x + -10x Combine like terms: 64x + -10x = 54x -135 + 54x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -135 + 54x = -1 + 0 -135 + 54x = -1 Add '135' to each side of the equation. -135 + 135 + 54x = -1 + 135 Combine like terms: -135 + 135 = 0 0 + 54x = -1 + 135 54x = -1 + 135 Combine like terms: -1 + 135 = 134 54x = 134 Divide each side by '54'. x = 2.481481481 Simplifying x = 2.481481481
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