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Simplifying 4(5x + -3) = -7(x + -4) Reorder the terms: 4(-3 + 5x) = -7(x + -4) (-3 * 4 + 5x * 4) = -7(x + -4) (-12 + 20x) = -7(x + -4) Reorder the terms: -12 + 20x = -7(-4 + x) -12 + 20x = (-4 * -7 + x * -7) -12 + 20x = (28 + -7x) Solving -12 + 20x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 20x + 7x = 28 + -7x + 7x Combine like terms: 20x + 7x = 27x -12 + 27x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 27x = 28 + 0 -12 + 27x = 28 Add '12' to each side of the equation. -12 + 12 + 27x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 27x = 28 + 12 27x = 28 + 12 Combine like terms: 28 + 12 = 40 27x = 40 Divide each side by '27'. x = 1.481481481 Simplifying x = 1.481481481
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