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Simplifying -1x + 10 + 5x = 8x + 16 + -7x Reorder the terms: 10 + -1x + 5x = 8x + 16 + -7x Combine like terms: -1x + 5x = 4x 10 + 4x = 8x + 16 + -7x Reorder the terms: 10 + 4x = 16 + 8x + -7x Combine like terms: 8x + -7x = 1x 10 + 4x = 16 + 1x Solving 10 + 4x = 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. 10 + 4x + -1x = 16 + 1x + -1x Combine like terms: 4x + -1x = 3x 10 + 3x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + 3x = 16 + 0 10 + 3x = 16 Add '-10' to each side of the equation. 10 + -10 + 3x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 16 + -10 3x = 16 + -10 Combine like terms: 16 + -10 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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