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Simplifying 2 = 6(x + 8) + -7x Reorder the terms: 2 = 6(8 + x) + -7x 2 = (8 * 6 + x * 6) + -7x 2 = (48 + 6x) + -7x Combine like terms: 6x + -7x = -1x 2 = 48 + -1x Solving 2 = 48 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + x = 48 + -1x + x Combine like terms: -1x + x = 0 2 + x = 48 + 0 2 + x = 48 Add '-2' to each side of the equation. 2 + -2 + x = 48 + -2 Combine like terms: 2 + -2 = 0 0 + x = 48 + -2 x = 48 + -2 Combine like terms: 48 + -2 = 46 x = 46 Simplifying x = 46
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