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Simplifying -9x + 75 = 5(2x + -4) Reorder the terms: 75 + -9x = 5(2x + -4) Reorder the terms: 75 + -9x = 5(-4 + 2x) 75 + -9x = (-4 * 5 + 2x * 5) 75 + -9x = (-20 + 10x) Solving 75 + -9x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 75 + -9x + -10x = -20 + 10x + -10x Combine like terms: -9x + -10x = -19x 75 + -19x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 75 + -19x = -20 + 0 75 + -19x = -20 Add '-75' to each side of the equation. 75 + -75 + -19x = -20 + -75 Combine like terms: 75 + -75 = 0 0 + -19x = -20 + -75 -19x = -20 + -75 Combine like terms: -20 + -75 = -95 -19x = -95 Divide each side by '-19'. x = 5 Simplifying x = 5
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