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Simplifying 3x + 5 = 7x + -13 Reorder the terms: 5 + 3x = 7x + -13 Reorder the terms: 5 + 3x = -13 + 7x Solving 5 + 3x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 3x + -7x = -13 + 7x + -7x Combine like terms: 3x + -7x = -4x 5 + -4x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -4x = -13 + 0 5 + -4x = -13 Add '-5' to each side of the equation. 5 + -5 + -4x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -13 + -5 -4x = -13 + -5 Combine like terms: -13 + -5 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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