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Simplifying -5(8x + 1) = 5(3 + -6x) Reorder the terms: -5(1 + 8x) = 5(3 + -6x) (1 * -5 + 8x * -5) = 5(3 + -6x) (-5 + -40x) = 5(3 + -6x) -5 + -40x = (3 * 5 + -6x * 5) -5 + -40x = (15 + -30x) Solving -5 + -40x = 15 + -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. -5 + -40x + 30x = 15 + -30x + 30x Combine like terms: -40x + 30x = -10x -5 + -10x = 15 + -30x + 30x Combine like terms: -30x + 30x = 0 -5 + -10x = 15 + 0 -5 + -10x = 15 Add '5' to each side of the equation. -5 + 5 + -10x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 15 + 5 -10x = 15 + 5 Combine like terms: 15 + 5 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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