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Simplifying 5(3 + -6) + 8x = 3(x + 5) Combine like terms: 3 + -6 = -3 5(-3) + 8x = 3(x + 5) Multiply 5 * -3 -15 + 8x = 3(x + 5) Reorder the terms: -15 + 8x = 3(5 + x) -15 + 8x = (5 * 3 + x * 3) -15 + 8x = (15 + 3x) Solving -15 + 8x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 8x + -3x = 15 + 3x + -3x Combine like terms: 8x + -3x = 5x -15 + 5x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 5x = 15 + 0 -15 + 5x = 15 Add '15' to each side of the equation. -15 + 15 + 5x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 15 + 15 5x = 15 + 15 Combine like terms: 15 + 15 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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