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Simplifying 8(2x + 1) = -4x + 48 Reorder the terms: 8(1 + 2x) = -4x + 48 (1 * 8 + 2x * 8) = -4x + 48 (8 + 16x) = -4x + 48 Reorder the terms: 8 + 16x = 48 + -4x Solving 8 + 16x = 48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 16x + 4x = 48 + -4x + 4x Combine like terms: 16x + 4x = 20x 8 + 20x = 48 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 20x = 48 + 0 8 + 20x = 48 Add '-8' to each side of the equation. 8 + -8 + 20x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 20x = 48 + -8 20x = 48 + -8 Combine like terms: 48 + -8 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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