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Simplifying 10x + 135 + -5x + 27 = 3x + 45 + 15x Reorder the terms: 135 + 27 + 10x + -5x = 3x + 45 + 15x Combine like terms: 135 + 27 = 162 162 + 10x + -5x = 3x + 45 + 15x Combine like terms: 10x + -5x = 5x 162 + 5x = 3x + 45 + 15x Reorder the terms: 162 + 5x = 45 + 3x + 15x Combine like terms: 3x + 15x = 18x 162 + 5x = 45 + 18x Solving 162 + 5x = 45 + 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. 162 + 5x + -18x = 45 + 18x + -18x Combine like terms: 5x + -18x = -13x 162 + -13x = 45 + 18x + -18x Combine like terms: 18x + -18x = 0 162 + -13x = 45 + 0 162 + -13x = 45 Add '-162' to each side of the equation. 162 + -162 + -13x = 45 + -162 Combine like terms: 162 + -162 = 0 0 + -13x = 45 + -162 -13x = 45 + -162 Combine like terms: 45 + -162 = -117 -13x = -117 Divide each side by '-13'. x = 9 Simplifying x = 9
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