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Simplifying 4(5x + -3) + -8 = 6 + -3(7x + 6) Reorder the terms: 4(-3 + 5x) + -8 = 6 + -3(7x + 6) (-3 * 4 + 5x * 4) + -8 = 6 + -3(7x + 6) (-12 + 20x) + -8 = 6 + -3(7x + 6) Reorder the terms: -12 + -8 + 20x = 6 + -3(7x + 6) Combine like terms: -12 + -8 = -20 -20 + 20x = 6 + -3(7x + 6) Reorder the terms: -20 + 20x = 6 + -3(6 + 7x) -20 + 20x = 6 + (6 * -3 + 7x * -3) -20 + 20x = 6 + (-18 + -21x) Combine like terms: 6 + -18 = -12 -20 + 20x = -12 + -21x Solving -20 + 20x = -12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -20 + 20x + 21x = -12 + -21x + 21x Combine like terms: 20x + 21x = 41x -20 + 41x = -12 + -21x + 21x Combine like terms: -21x + 21x = 0 -20 + 41x = -12 + 0 -20 + 41x = -12 Add '20' to each side of the equation. -20 + 20 + 41x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 41x = -12 + 20 41x = -12 + 20 Combine like terms: -12 + 20 = 8 41x = 8 Divide each side by '41'. x = 0.1951219512 Simplifying x = 0.1951219512
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