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Simplifying 6 + 2x = 4(2x + 6) + -7(x + -1) Reorder the terms: 6 + 2x = 4(6 + 2x) + -7(x + -1) 6 + 2x = (6 * 4 + 2x * 4) + -7(x + -1) 6 + 2x = (24 + 8x) + -7(x + -1) Reorder the terms: 6 + 2x = 24 + 8x + -7(-1 + x) 6 + 2x = 24 + 8x + (-1 * -7 + x * -7) 6 + 2x = 24 + 8x + (7 + -7x) Reorder the terms: 6 + 2x = 24 + 7 + 8x + -7x Combine like terms: 24 + 7 = 31 6 + 2x = 31 + 8x + -7x Combine like terms: 8x + -7x = 1x 6 + 2x = 31 + 1x Solving 6 + 2x = 31 + 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. 6 + 2x + -1x = 31 + 1x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 31 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 1x = 31 + 0 6 + 1x = 31 Add '-6' to each side of the equation. 6 + -6 + 1x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 31 + -6 1x = 31 + -6 Combine like terms: 31 + -6 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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