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Simplifying -10(1 + -6x) + 4x = -5 + -5(1 + 8x) (1 * -10 + -6x * -10) + 4x = -5 + -5(1 + 8x) (-10 + 60x) + 4x = -5 + -5(1 + 8x) Combine like terms: 60x + 4x = 64x -10 + 64x = -5 + -5(1 + 8x) -10 + 64x = -5 + (1 * -5 + 8x * -5) -10 + 64x = -5 + (-5 + -40x) Combine like terms: -5 + -5 = -10 -10 + 64x = -10 + -40x Add '10' to each side of the equation. -10 + 10 + 64x = -10 + 10 + -40x Combine like terms: -10 + 10 = 0 0 + 64x = -10 + 10 + -40x 64x = -10 + 10 + -40x Combine like terms: -10 + 10 = 0 64x = 0 + -40x 64x = -40x Solving 64x = -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 64x + 40x = -40x + 40x Combine like terms: 64x + 40x = 104x 104x = -40x + 40x Combine like terms: -40x + 40x = 0 104x = 0 Divide each side by '104'. x = 0 Simplifying x = 0
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