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Simplifying 4(3x + -1) + 6 = 5(26 + 4) Reorder the terms: 4(-1 + 3x) + 6 = 5(26 + 4) (-1 * 4 + 3x * 4) + 6 = 5(26 + 4) (-4 + 12x) + 6 = 5(26 + 4) Reorder the terms: -4 + 6 + 12x = 5(26 + 4) Combine like terms: -4 + 6 = 2 2 + 12x = 5(26 + 4) Combine like terms: 26 + 4 = 30 2 + 12x = 5(30) Multiply 5 * 30 2 + 12x = 150 Solving 2 + 12x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12x = 150 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 150 + -2 12x = 150 + -2 Combine like terms: 150 + -2 = 148 12x = 148 Divide each side by '12'. x = 12.33333333 Simplifying x = 12.33333333
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