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Simplifying 3(4x + 2) + 26 = 5x + -3 Reorder the terms: 3(2 + 4x) + 26 = 5x + -3 (2 * 3 + 4x * 3) + 26 = 5x + -3 (6 + 12x) + 26 = 5x + -3 Reorder the terms: 6 + 26 + 12x = 5x + -3 Combine like terms: 6 + 26 = 32 32 + 12x = 5x + -3 Reorder the terms: 32 + 12x = -3 + 5x Solving 32 + 12x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 12x + -5x = -3 + 5x + -5x Combine like terms: 12x + -5x = 7x 32 + 7x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 7x = -3 + 0 32 + 7x = -3 Add '-32' to each side of the equation. 32 + -32 + 7x = -3 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = -3 + -32 7x = -3 + -32 Combine like terms: -3 + -32 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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