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Simplifying 5(4x + 8) = 3(10x + -30) Reorder the terms: 5(8 + 4x) = 3(10x + -30) (8 * 5 + 4x * 5) = 3(10x + -30) (40 + 20x) = 3(10x + -30) Reorder the terms: 40 + 20x = 3(-30 + 10x) 40 + 20x = (-30 * 3 + 10x * 3) 40 + 20x = (-90 + 30x) Solving 40 + 20x = -90 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 40 + 20x + -30x = -90 + 30x + -30x Combine like terms: 20x + -30x = -10x 40 + -10x = -90 + 30x + -30x Combine like terms: 30x + -30x = 0 40 + -10x = -90 + 0 40 + -10x = -90 Add '-40' to each side of the equation. 40 + -40 + -10x = -90 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = -90 + -40 -10x = -90 + -40 Combine like terms: -90 + -40 = -130 -10x = -130 Divide each side by '-10'. x = 13 Simplifying x = 13
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