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Simplifying 8x + -5(4x + 1) = -1 + 2(4x + -3) Reorder the terms: 8x + -5(1 + 4x) = -1 + 2(4x + -3) 8x + (1 * -5 + 4x * -5) = -1 + 2(4x + -3) 8x + (-5 + -20x) = -1 + 2(4x + -3) Reorder the terms: -5 + 8x + -20x = -1 + 2(4x + -3) Combine like terms: 8x + -20x = -12x -5 + -12x = -1 + 2(4x + -3) Reorder the terms: -5 + -12x = -1 + 2(-3 + 4x) -5 + -12x = -1 + (-3 * 2 + 4x * 2) -5 + -12x = -1 + (-6 + 8x) Combine like terms: -1 + -6 = -7 -5 + -12x = -7 + 8x Solving -5 + -12x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + -12x + -8x = -7 + 8x + -8x Combine like terms: -12x + -8x = -20x -5 + -20x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -20x = -7 + 0 -5 + -20x = -7 Add '5' to each side of the equation. -5 + 5 + -20x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -20x = -7 + 5 -20x = -7 + 5 Combine like terms: -7 + 5 = -2 -20x = -2 Divide each side by '-20'. x = 0.1 Simplifying x = 0.1
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