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Simplifying 6(-8x + 5) + 6x = 5(8x + -4) Reorder the terms: 6(5 + -8x) + 6x = 5(8x + -4) (5 * 6 + -8x * 6) + 6x = 5(8x + -4) (30 + -48x) + 6x = 5(8x + -4) Combine like terms: -48x + 6x = -42x 30 + -42x = 5(8x + -4) Reorder the terms: 30 + -42x = 5(-4 + 8x) 30 + -42x = (-4 * 5 + 8x * 5) 30 + -42x = (-20 + 40x) Solving 30 + -42x = -20 + 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. 30 + -42x + -40x = -20 + 40x + -40x Combine like terms: -42x + -40x = -82x 30 + -82x = -20 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + -82x = -20 + 0 30 + -82x = -20 Add '-30' to each side of the equation. 30 + -30 + -82x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -82x = -20 + -30 -82x = -20 + -30 Combine like terms: -20 + -30 = -50 -82x = -50 Divide each side by '-82'. x = 0.6097560976 Simplifying x = 0.6097560976
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