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Simplifying 40x + -90 + -45 + -54x = 8x + -2 + 5 + 10x Reorder the terms: -90 + -45 + 40x + -54x = 8x + -2 + 5 + 10x Combine like terms: -90 + -45 = -135 -135 + 40x + -54x = 8x + -2 + 5 + 10x Combine like terms: 40x + -54x = -14x -135 + -14x = 8x + -2 + 5 + 10x Reorder the terms: -135 + -14x = -2 + 5 + 8x + 10x Combine like terms: -2 + 5 = 3 -135 + -14x = 3 + 8x + 10x Combine like terms: 8x + 10x = 18x -135 + -14x = 3 + 18x Solving -135 + -14x = 3 + 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. -135 + -14x + -18x = 3 + 18x + -18x Combine like terms: -14x + -18x = -32x -135 + -32x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 -135 + -32x = 3 + 0 -135 + -32x = 3 Add '135' to each side of the equation. -135 + 135 + -32x = 3 + 135 Combine like terms: -135 + 135 = 0 0 + -32x = 3 + 135 -32x = 3 + 135 Combine like terms: 3 + 135 = 138 -32x = 138 Divide each side by '-32'. x = -4.3125 Simplifying x = -4.3125
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