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Simplifying -6(3x + -4) = -4(3x + 7) + -5 Reorder the terms: -6(-4 + 3x) = -4(3x + 7) + -5 (-4 * -6 + 3x * -6) = -4(3x + 7) + -5 (24 + -18x) = -4(3x + 7) + -5 Reorder the terms: 24 + -18x = -4(7 + 3x) + -5 24 + -18x = (7 * -4 + 3x * -4) + -5 24 + -18x = (-28 + -12x) + -5 Reorder the terms: 24 + -18x = -28 + -5 + -12x Combine like terms: -28 + -5 = -33 24 + -18x = -33 + -12x Solving 24 + -18x = -33 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 24 + -18x + 12x = -33 + -12x + 12x Combine like terms: -18x + 12x = -6x 24 + -6x = -33 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + -6x = -33 + 0 24 + -6x = -33 Add '-24' to each side of the equation. 24 + -24 + -6x = -33 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -33 + -24 -6x = -33 + -24 Combine like terms: -33 + -24 = -57 -6x = -57 Divide each side by '-6'. x = 9.5 Simplifying x = 9.5
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