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Simplifying 5(2x + 1) = 12x + -1 Reorder the terms: 5(1 + 2x) = 12x + -1 (1 * 5 + 2x * 5) = 12x + -1 (5 + 10x) = 12x + -1 Reorder the terms: 5 + 10x = -1 + 12x Solving 5 + 10x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 10x + -12x = -1 + 12x + -12x Combine like terms: 10x + -12x = -2x 5 + -2x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -2x = -1 + 0 5 + -2x = -1 Add '-5' to each side of the equation. 5 + -5 + -2x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -1 + -5 -2x = -1 + -5 Combine like terms: -1 + -5 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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