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Simplifying -6(5x + 1) + 3(2x + -4) = 0 Reorder the terms: -6(1 + 5x) + 3(2x + -4) = 0 (1 * -6 + 5x * -6) + 3(2x + -4) = 0 (-6 + -30x) + 3(2x + -4) = 0 Reorder the terms: -6 + -30x + 3(-4 + 2x) = 0 -6 + -30x + (-4 * 3 + 2x * 3) = 0 -6 + -30x + (-12 + 6x) = 0 Reorder the terms: -6 + -12 + -30x + 6x = 0 Combine like terms: -6 + -12 = -18 -18 + -30x + 6x = 0 Combine like terms: -30x + 6x = -24x -18 + -24x = 0 Solving -18 + -24x = 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 + -24x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -24x = 0 + 18 -24x = 0 + 18 Combine like terms: 0 + 18 = 18 -24x = 18 Divide each side by '-24'. x = -0.75 Simplifying x = -0.75
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