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Simplifying 4(7x + -4) = 8(x + 3) Reorder the terms: 4(-4 + 7x) = 8(x + 3) (-4 * 4 + 7x * 4) = 8(x + 3) (-16 + 28x) = 8(x + 3) Reorder the terms: -16 + 28x = 8(3 + x) -16 + 28x = (3 * 8 + x * 8) -16 + 28x = (24 + 8x) Solving -16 + 28x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 28x + -8x = 24 + 8x + -8x Combine like terms: 28x + -8x = 20x -16 + 20x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 20x = 24 + 0 -16 + 20x = 24 Add '16' to each side of the equation. -16 + 16 + 20x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 20x = 24 + 16 20x = 24 + 16 Combine like terms: 24 + 16 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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