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Simplifying 6(x + 7) = 8x + 34 Reorder the terms: 6(7 + x) = 8x + 34 (7 * 6 + x * 6) = 8x + 34 (42 + 6x) = 8x + 34 Reorder the terms: 42 + 6x = 34 + 8x Solving 42 + 6x = 34 + 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. 42 + 6x + -8x = 34 + 8x + -8x Combine like terms: 6x + -8x = -2x 42 + -2x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -2x = 34 + 0 42 + -2x = 34 Add '-42' to each side of the equation. 42 + -42 + -2x = 34 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 34 + -42 -2x = 34 + -42 Combine like terms: 34 + -42 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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