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Simplifying 3(5x + -2) + -3(x + 4) = 0 Reorder the terms: 3(-2 + 5x) + -3(x + 4) = 0 (-2 * 3 + 5x * 3) + -3(x + 4) = 0 (-6 + 15x) + -3(x + 4) = 0 Reorder the terms: -6 + 15x + -3(4 + x) = 0 -6 + 15x + (4 * -3 + x * -3) = 0 -6 + 15x + (-12 + -3x) = 0 Reorder the terms: -6 + -12 + 15x + -3x = 0 Combine like terms: -6 + -12 = -18 -18 + 15x + -3x = 0 Combine like terms: 15x + -3x = 12x -18 + 12x = 0 Solving -18 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 0 + 18 12x = 0 + 18 Combine like terms: 0 + 18 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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