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Simplifying 8(4x + -1) + -12x = 11 + (2x + -6) Reorder the terms: 8(-1 + 4x) + -12x = 11 + (2x + -6) (-1 * 8 + 4x * 8) + -12x = 11 + (2x + -6) (-8 + 32x) + -12x = 11 + (2x + -6) Combine like terms: 32x + -12x = 20x -8 + 20x = 11 + (2x + -6) Reorder the terms: -8 + 20x = 11 + (-6 + 2x) Remove parenthesis around (-6 + 2x) -8 + 20x = 11 + -6 + 2x Combine like terms: 11 + -6 = 5 -8 + 20x = 5 + 2x Solving -8 + 20x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 20x + -2x = 5 + 2x + -2x Combine like terms: 20x + -2x = 18x -8 + 18x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 18x = 5 + 0 -8 + 18x = 5 Add '8' to each side of the equation. -8 + 8 + 18x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 5 + 8 18x = 5 + 8 Combine like terms: 5 + 8 = 13 18x = 13 Divide each side by '18'. x = 0.7222222222 Simplifying x = 0.7222222222
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