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Simplifying 5(6 + -4x) + -45 = 69 + -2(7x + -3) (6 * 5 + -4x * 5) + -45 = 69 + -2(7x + -3) (30 + -20x) + -45 = 69 + -2(7x + -3) Reorder the terms: 30 + -45 + -20x = 69 + -2(7x + -3) Combine like terms: 30 + -45 = -15 -15 + -20x = 69 + -2(7x + -3) Reorder the terms: -15 + -20x = 69 + -2(-3 + 7x) -15 + -20x = 69 + (-3 * -2 + 7x * -2) -15 + -20x = 69 + (6 + -14x) Combine like terms: 69 + 6 = 75 -15 + -20x = 75 + -14x Solving -15 + -20x = 75 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -15 + -20x + 14x = 75 + -14x + 14x Combine like terms: -20x + 14x = -6x -15 + -6x = 75 + -14x + 14x Combine like terms: -14x + 14x = 0 -15 + -6x = 75 + 0 -15 + -6x = 75 Add '15' to each side of the equation. -15 + 15 + -6x = 75 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 75 + 15 -6x = 75 + 15 Combine like terms: 75 + 15 = 90 -6x = 90 Divide each side by '-6'. x = -15 Simplifying x = -15
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