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Simplifying -3(4x + 7) = 5(3x + -9) Reorder the terms: -3(7 + 4x) = 5(3x + -9) (7 * -3 + 4x * -3) = 5(3x + -9) (-21 + -12x) = 5(3x + -9) Reorder the terms: -21 + -12x = 5(-9 + 3x) -21 + -12x = (-9 * 5 + 3x * 5) -21 + -12x = (-45 + 15x) Solving -21 + -12x = -45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + -12x + -15x = -45 + 15x + -15x Combine like terms: -12x + -15x = -27x -21 + -27x = -45 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -27x = -45 + 0 -21 + -27x = -45 Add '21' to each side of the equation. -21 + 21 + -27x = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -27x = -45 + 21 -27x = -45 + 21 Combine like terms: -45 + 21 = -24 -27x = -24 Divide each side by '-27'. x = 0.8888888889 Simplifying x = 0.8888888889
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