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Simplifying 2(x + 2) + 6 = 10x + 1 Reorder the terms: 2(2 + x) + 6 = 10x + 1 (2 * 2 + x * 2) + 6 = 10x + 1 (4 + 2x) + 6 = 10x + 1 Reorder the terms: 4 + 6 + 2x = 10x + 1 Combine like terms: 4 + 6 = 10 10 + 2x = 10x + 1 Reorder the terms: 10 + 2x = 1 + 10x Solving 10 + 2x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 2x + -10x = 1 + 10x + -10x Combine like terms: 2x + -10x = -8x 10 + -8x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -8x = 1 + 0 10 + -8x = 1 Add '-10' to each side of the equation. 10 + -10 + -8x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 1 + -10 -8x = 1 + -10 Combine like terms: 1 + -10 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125
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