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Simplifying 3x + 12 + 5x + -8 = 4x + 18 + -3x + -2 Reorder the terms: 12 + -8 + 3x + 5x = 4x + 18 + -3x + -2 Combine like terms: 12 + -8 = 4 4 + 3x + 5x = 4x + 18 + -3x + -2 Combine like terms: 3x + 5x = 8x 4 + 8x = 4x + 18 + -3x + -2 Reorder the terms: 4 + 8x = 18 + -2 + 4x + -3x Combine like terms: 18 + -2 = 16 4 + 8x = 16 + 4x + -3x Combine like terms: 4x + -3x = 1x 4 + 8x = 16 + 1x Solving 4 + 8x = 16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 8x + -1x = 16 + 1x + -1x Combine like terms: 8x + -1x = 7x 4 + 7x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 7x = 16 + 0 4 + 7x = 16 Add '-4' to each side of the equation. 4 + -4 + 7x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 16 + -4 7x = 16 + -4 Combine like terms: 16 + -4 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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