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Simplifying 8(3x + 5) = 2x + -4 Reorder the terms: 8(5 + 3x) = 2x + -4 (5 * 8 + 3x * 8) = 2x + -4 (40 + 24x) = 2x + -4 Reorder the terms: 40 + 24x = -4 + 2x Solving 40 + 24x = -4 + 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. 40 + 24x + -2x = -4 + 2x + -2x Combine like terms: 24x + -2x = 22x 40 + 22x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 22x = -4 + 0 40 + 22x = -4 Add '-40' to each side of the equation. 40 + -40 + 22x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + 22x = -4 + -40 22x = -4 + -40 Combine like terms: -4 + -40 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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