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Simplifying 6(4x + 7) = 23x + 8 Reorder the terms: 6(7 + 4x) = 23x + 8 (7 * 6 + 4x * 6) = 23x + 8 (42 + 24x) = 23x + 8 Reorder the terms: 42 + 24x = 8 + 23x Solving 42 + 24x = 8 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 42 + 24x + -23x = 8 + 23x + -23x Combine like terms: 24x + -23x = 1x 42 + 1x = 8 + 23x + -23x Combine like terms: 23x + -23x = 0 42 + 1x = 8 + 0 42 + 1x = 8 Add '-42' to each side of the equation. 42 + -42 + 1x = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 8 + -42 1x = 8 + -42 Combine like terms: 8 + -42 = -34 1x = -34 Divide each side by '1'. x = -34 Simplifying x = -34
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