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Simplifying 3x + -45 = 90 + -6x Reorder the terms: -45 + 3x = 90 + -6x Solving -45 + 3x = 90 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -45 + 3x + 6x = 90 + -6x + 6x Combine like terms: 3x + 6x = 9x -45 + 9x = 90 + -6x + 6x Combine like terms: -6x + 6x = 0 -45 + 9x = 90 + 0 -45 + 9x = 90 Add '45' to each side of the equation. -45 + 45 + 9x = 90 + 45 Combine like terms: -45 + 45 = 0 0 + 9x = 90 + 45 9x = 90 + 45 Combine like terms: 90 + 45 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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