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Simplifying 3x + 5 + -1x = 8 + 4x + 7 Reorder the terms: 5 + 3x + -1x = 8 + 4x + 7 Combine like terms: 3x + -1x = 2x 5 + 2x = 8 + 4x + 7 Reorder the terms: 5 + 2x = 8 + 7 + 4x Combine like terms: 8 + 7 = 15 5 + 2x = 15 + 4x Solving 5 + 2x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 2x + -4x = 15 + 4x + -4x Combine like terms: 2x + -4x = -2x 5 + -2x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -2x = 15 + 0 5 + -2x = 15 Add '-5' to each side of the equation. 5 + -5 + -2x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 15 + -5 -2x = 15 + -5 Combine like terms: 15 + -5 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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