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Simplifying 0.6(35x + 10) + -8 = -0.5(8x + -12) Reorder the terms: 0.6(10 + 35x) + -8 = -0.5(8x + -12) (10 * 0.6 + 35x * 0.6) + -8 = -0.5(8x + -12) (6 + 21x) + -8 = -0.5(8x + -12) Reorder the terms: 6 + -8 + 21x = -0.5(8x + -12) Combine like terms: 6 + -8 = -2 -2 + 21x = -0.5(8x + -12) Reorder the terms: -2 + 21x = -0.5(-12 + 8x) -2 + 21x = (-12 * -0.5 + 8x * -0.5) -2 + 21x = (6 + -4x) Solving -2 + 21x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 21x + 4x = 6 + -4x + 4x Combine like terms: 21x + 4x = 25x -2 + 25x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 25x = 6 + 0 -2 + 25x = 6 Add '2' to each side of the equation. -2 + 2 + 25x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 25x = 6 + 2 25x = 6 + 2 Combine like terms: 6 + 2 = 8 25x = 8 Divide each side by '25'. x = 0.32 Simplifying x = 0.32
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