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Simplifying 3(5x + -2) + 6 = 7x + 3 Reorder the terms: 3(-2 + 5x) + 6 = 7x + 3 (-2 * 3 + 5x * 3) + 6 = 7x + 3 (-6 + 15x) + 6 = 7x + 3 Reorder the terms: -6 + 6 + 15x = 7x + 3 Combine like terms: -6 + 6 = 0 0 + 15x = 7x + 3 15x = 7x + 3 Reorder the terms: 15x = 3 + 7x Solving 15x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15x + -7x = 3 + 7x + -7x Combine like terms: 15x + -7x = 8x 8x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 8x = 3 + 0 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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