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Simplifying 2x + 45 = 3x + -13 Reorder the terms: 45 + 2x = 3x + -13 Reorder the terms: 45 + 2x = -13 + 3x Solving 45 + 2x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + 2x + -3x = -13 + 3x + -3x Combine like terms: 2x + -3x = -1x 45 + -1x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -1x = -13 + 0 45 + -1x = -13 Add '-45' to each side of the equation. 45 + -45 + -1x = -13 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = -13 + -45 -1x = -13 + -45 Combine like terms: -13 + -45 = -58 -1x = -58 Divide each side by '-1'. x = 58 Simplifying x = 58
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