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Simplifying 3x + 4(x + -3) + 5(x + -6) = 0 Reorder the terms: 3x + 4(-3 + x) + 5(x + -6) = 0 3x + (-3 * 4 + x * 4) + 5(x + -6) = 0 3x + (-12 + 4x) + 5(x + -6) = 0 Reorder the terms: 3x + -12 + 4x + 5(-6 + x) = 0 3x + -12 + 4x + (-6 * 5 + x * 5) = 0 3x + -12 + 4x + (-30 + 5x) = 0 Reorder the terms: -12 + -30 + 3x + 4x + 5x = 0 Combine like terms: -12 + -30 = -42 -42 + 3x + 4x + 5x = 0 Combine like terms: 3x + 4x = 7x -42 + 7x + 5x = 0 Combine like terms: 7x + 5x = 12x -42 + 12x = 0 Solving -42 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 12x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 0 + 42 12x = 0 + 42 Combine like terms: 0 + 42 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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