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Simplifying 10x + -2(-2) = 8(x + 1) + 6 Multiply -2 * -2 10x + 4 = 8(x + 1) + 6 Reorder the terms: 4 + 10x = 8(x + 1) + 6 Reorder the terms: 4 + 10x = 8(1 + x) + 6 4 + 10x = (1 * 8 + x * 8) + 6 4 + 10x = (8 + 8x) + 6 Reorder the terms: 4 + 10x = 8 + 6 + 8x Combine like terms: 8 + 6 = 14 4 + 10x = 14 + 8x Solving 4 + 10x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 10x + -8x = 14 + 8x + -8x Combine like terms: 10x + -8x = 2x 4 + 2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 2x = 14 + 0 4 + 2x = 14 Add '-4' to each side of the equation. 4 + -4 + 2x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 14 + -4 2x = 14 + -4 Combine like terms: 14 + -4 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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