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Simplifying 3x + 7 + -2x = 5x + 13 Reorder the terms: 7 + 3x + -2x = 5x + 13 Combine like terms: 3x + -2x = 1x 7 + 1x = 5x + 13 Reorder the terms: 7 + 1x = 13 + 5x Solving 7 + 1x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 1x + -5x = 13 + 5x + -5x Combine like terms: 1x + -5x = -4x 7 + -4x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x = 13 + 0 7 + -4x = 13 Add '-7' to each side of the equation. 7 + -7 + -4x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 13 + -7 -4x = 13 + -7 Combine like terms: 13 + -7 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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