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Simplifying 4(5x + -4) + 8 = 2x + 28 Reorder the terms: 4(-4 + 5x) + 8 = 2x + 28 (-4 * 4 + 5x * 4) + 8 = 2x + 28 (-16 + 20x) + 8 = 2x + 28 Reorder the terms: -16 + 8 + 20x = 2x + 28 Combine like terms: -16 + 8 = -8 -8 + 20x = 2x + 28 Reorder the terms: -8 + 20x = 28 + 2x Solving -8 + 20x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 20x + -2x = 28 + 2x + -2x Combine like terms: 20x + -2x = 18x -8 + 18x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 18x = 28 + 0 -8 + 18x = 28 Add '8' to each side of the equation. -8 + 8 + 18x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 28 + 8 18x = 28 + 8 Combine like terms: 28 + 8 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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