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Simplifying 8(7x + -3) = -48(3x + 2) Reorder the terms: 8(-3 + 7x) = -48(3x + 2) (-3 * 8 + 7x * 8) = -48(3x + 2) (-24 + 56x) = -48(3x + 2) Reorder the terms: -24 + 56x = -48(2 + 3x) -24 + 56x = (2 * -48 + 3x * -48) -24 + 56x = (-96 + -144x) Solving -24 + 56x = -96 + -144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144x' to each side of the equation. -24 + 56x + 144x = -96 + -144x + 144x Combine like terms: 56x + 144x = 200x -24 + 200x = -96 + -144x + 144x Combine like terms: -144x + 144x = 0 -24 + 200x = -96 + 0 -24 + 200x = -96 Add '24' to each side of the equation. -24 + 24 + 200x = -96 + 24 Combine like terms: -24 + 24 = 0 0 + 200x = -96 + 24 200x = -96 + 24 Combine like terms: -96 + 24 = -72 200x = -72 Divide each side by '200'. x = -0.36 Simplifying x = -0.36
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