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Simplifying 3(5x + 1) + -12 = 13x + 3 Reorder the terms: 3(1 + 5x) + -12 = 13x + 3 (1 * 3 + 5x * 3) + -12 = 13x + 3 (3 + 15x) + -12 = 13x + 3 Reorder the terms: 3 + -12 + 15x = 13x + 3 Combine like terms: 3 + -12 = -9 -9 + 15x = 13x + 3 Reorder the terms: -9 + 15x = 3 + 13x Solving -9 + 15x = 3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -9 + 15x + -13x = 3 + 13x + -13x Combine like terms: 15x + -13x = 2x -9 + 2x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + 2x = 3 + 0 -9 + 2x = 3 Add '9' to each side of the equation. -9 + 9 + 2x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 3 + 9 2x = 3 + 9 Combine like terms: 3 + 9 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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