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Simplifying 3(5x + 4) + -27 = 13x + 3 Reorder the terms: 3(4 + 5x) + -27 = 13x + 3 (4 * 3 + 5x * 3) + -27 = 13x + 3 (12 + 15x) + -27 = 13x + 3 Reorder the terms: 12 + -27 + 15x = 13x + 3 Combine like terms: 12 + -27 = -15 -15 + 15x = 13x + 3 Reorder the terms: -15 + 15x = 3 + 13x Solving -15 + 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. -15 + 15x + -13x = 3 + 13x + -13x Combine like terms: 15x + -13x = 2x -15 + 2x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 -15 + 2x = 3 + 0 -15 + 2x = 3 Add '15' to each side of the equation. -15 + 15 + 2x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 3 + 15 2x = 3 + 15 Combine like terms: 3 + 15 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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