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Simplifying -75 = -6x + 3(-4x + 5) Reorder the terms: -75 = -6x + 3(5 + -4x) -75 = -6x + (5 * 3 + -4x * 3) -75 = -6x + (15 + -12x) Reorder the terms: -75 = 15 + -6x + -12x Combine like terms: -6x + -12x = -18x -75 = 15 + -18x Solving -75 = 15 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -75 + 18x = 15 + -18x + 18x Combine like terms: -18x + 18x = 0 -75 + 18x = 15 + 0 -75 + 18x = 15 Add '75' to each side of the equation. -75 + 75 + 18x = 15 + 75 Combine like terms: -75 + 75 = 0 0 + 18x = 15 + 75 18x = 15 + 75 Combine like terms: 15 + 75 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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