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Simplifying 5(8 + -2x) = 2(3x + 4) (8 * 5 + -2x * 5) = 2(3x + 4) (40 + -10x) = 2(3x + 4) Reorder the terms: 40 + -10x = 2(4 + 3x) 40 + -10x = (4 * 2 + 3x * 2) 40 + -10x = (8 + 6x) Solving 40 + -10x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + -10x + -6x = 8 + 6x + -6x Combine like terms: -10x + -6x = -16x 40 + -16x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -16x = 8 + 0 40 + -16x = 8 Add '-40' to each side of the equation. 40 + -40 + -16x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -16x = 8 + -40 -16x = 8 + -40 Combine like terms: 8 + -40 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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