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