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Simplifying 6(x + 4) = 1 + -3x + 9 Reorder the terms: 6(4 + x) = 1 + -3x + 9 (4 * 6 + x * 6) = 1 + -3x + 9 (24 + 6x) = 1 + -3x + 9 Reorder the terms: 24 + 6x = 1 + 9 + -3x Combine like terms: 1 + 9 = 10 24 + 6x = 10 + -3x Solving 24 + 6x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 6x + 3x = 10 + -3x + 3x Combine like terms: 6x + 3x = 9x 24 + 9x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 9x = 10 + 0 24 + 9x = 10 Add '-24' to each side of the equation. 24 + -24 + 9x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 10 + -24 9x = 10 + -24 Combine like terms: 10 + -24 = -14 9x = -14 Divide each side by '9'. x = -1.555555556 Simplifying x = -1.555555556
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