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Simplifying 3x + 45 = 2x + -8 Reorder the terms: 45 + 3x = 2x + -8 Reorder the terms: 45 + 3x = -8 + 2x Solving 45 + 3x = -8 + 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 = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x 45 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 1x = -8 + 0 45 + 1x = -8 Add '-45' to each side of the equation. 45 + -45 + 1x = -8 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = -8 + -45 1x = -8 + -45 Combine like terms: -8 + -45 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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