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