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Simplifying 3x + 13 + -2x = 8 + 5x + -7 Reorder the terms: 13 + 3x + -2x = 8 + 5x + -7 Combine like terms: 3x + -2x = 1x 13 + 1x = 8 + 5x + -7 Reorder the terms: 13 + 1x = 8 + -7 + 5x Combine like terms: 8 + -7 = 1 13 + 1x = 1 + 5x Solving 13 + 1x = 1 + 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. 13 + 1x + -5x = 1 + 5x + -5x Combine like terms: 1x + -5x = -4x 13 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -4x = 1 + 0 13 + -4x = 1 Add '-13' to each side of the equation. 13 + -13 + -4x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 1 + -13 -4x = 1 + -13 Combine like terms: 1 + -13 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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