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Simplifying 5x + -8x + 45 = 2x + 40 Reorder the terms: 45 + 5x + -8x = 2x + 40 Combine like terms: 5x + -8x = -3x 45 + -3x = 2x + 40 Reorder the terms: 45 + -3x = 40 + 2x Solving 45 + -3x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + -3x + -2x = 40 + 2x + -2x Combine like terms: -3x + -2x = -5x 45 + -5x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -5x = 40 + 0 45 + -5x = 40 Add '-45' to each side of the equation. 45 + -45 + -5x = 40 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = 40 + -45 -5x = 40 + -45 Combine like terms: 40 + -45 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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