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Simplifying 5(1 + 2x) + -6x = 12 + 9 (1 * 5 + 2x * 5) + -6x = 12 + 9 (5 + 10x) + -6x = 12 + 9 Combine like terms: 10x + -6x = 4x 5 + 4x = 12 + 9 Combine like terms: 12 + 9 = 21 5 + 4x = 21 Solving 5 + 4x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 21 + -5 4x = 21 + -5 Combine like terms: 21 + -5 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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