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Simplifying 5(3x + -6) + -1(4x + 3) = 0 Reorder the terms: 5(-6 + 3x) + -1(4x + 3) = 0 (-6 * 5 + 3x * 5) + -1(4x + 3) = 0 (-30 + 15x) + -1(4x + 3) = 0 Reorder the terms: -30 + 15x + -1(3 + 4x) = 0 -30 + 15x + (3 * -1 + 4x * -1) = 0 -30 + 15x + (-3 + -4x) = 0 Reorder the terms: -30 + -3 + 15x + -4x = 0 Combine like terms: -30 + -3 = -33 -33 + 15x + -4x = 0 Combine like terms: 15x + -4x = 11x -33 + 11x = 0 Solving -33 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 11x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 11x = 0 + 33 11x = 0 + 33 Combine like terms: 0 + 33 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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