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Simplifying 3x + 45 + -6x = -6x Reorder the terms: 45 + 3x + -6x = -6x Combine like terms: 3x + -6x = -3x 45 + -3x = -6x Solving 45 + -3x = -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 = -6x + 6x Combine like terms: -3x + 6x = 3x 45 + 3x = -6x + 6x Combine like terms: -6x + 6x = 0 45 + 3x = 0 Add '-45' to each side of the equation. 45 + -45 + 3x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 0 + -45 3x = 0 + -45 Combine like terms: 0 + -45 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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