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Simplifying 3x + 45 + -2x + -40 = 6x + -45 Reorder the terms: 45 + -40 + 3x + -2x = 6x + -45 Combine like terms: 45 + -40 = 5 5 + 3x + -2x = 6x + -45 Combine like terms: 3x + -2x = 1x 5 + 1x = 6x + -45 Reorder the terms: 5 + 1x = -45 + 6x Solving 5 + 1x = -45 + 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. 5 + 1x + -6x = -45 + 6x + -6x Combine like terms: 1x + -6x = -5x 5 + -5x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -5x = -45 + 0 5 + -5x = -45 Add '-5' to each side of the equation. 5 + -5 + -5x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -45 + -5 -5x = -45 + -5 Combine like terms: -45 + -5 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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