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Simplifying 3(x + -5) + 4(2x + 3) = 30 Reorder the terms: 3(-5 + x) + 4(2x + 3) = 30 (-5 * 3 + x * 3) + 4(2x + 3) = 30 (-15 + 3x) + 4(2x + 3) = 30 Reorder the terms: -15 + 3x + 4(3 + 2x) = 30 -15 + 3x + (3 * 4 + 2x * 4) = 30 -15 + 3x + (12 + 8x) = 30 Reorder the terms: -15 + 12 + 3x + 8x = 30 Combine like terms: -15 + 12 = -3 -3 + 3x + 8x = 30 Combine like terms: 3x + 8x = 11x -3 + 11x = 30 Solving -3 + 11x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 30 + 3 11x = 30 + 3 Combine like terms: 30 + 3 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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