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Simplifying 15x + -135 + 18x = 45 + 90 + -18x + 15x Reorder the terms: -135 + 15x + 18x = 45 + 90 + -18x + 15x Combine like terms: 15x + 18x = 33x -135 + 33x = 45 + 90 + -18x + 15x Combine like terms: 45 + 90 = 135 -135 + 33x = 135 + -18x + 15x Combine like terms: -18x + 15x = -3x -135 + 33x = 135 + -3x Solving -135 + 33x = 135 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -135 + 33x + 3x = 135 + -3x + 3x Combine like terms: 33x + 3x = 36x -135 + 36x = 135 + -3x + 3x Combine like terms: -3x + 3x = 0 -135 + 36x = 135 + 0 -135 + 36x = 135 Add '135' to each side of the equation. -135 + 135 + 36x = 135 + 135 Combine like terms: -135 + 135 = 0 0 + 36x = 135 + 135 36x = 135 + 135 Combine like terms: 135 + 135 = 270 36x = 270 Divide each side by '36'. x = 7.5 Simplifying x = 7.5
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