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Simplifying 8(2x + -1) + 2 = 12x + 2(4x + -5) Reorder the terms: 8(-1 + 2x) + 2 = 12x + 2(4x + -5) (-1 * 8 + 2x * 8) + 2 = 12x + 2(4x + -5) (-8 + 16x) + 2 = 12x + 2(4x + -5) Reorder the terms: -8 + 2 + 16x = 12x + 2(4x + -5) Combine like terms: -8 + 2 = -6 -6 + 16x = 12x + 2(4x + -5) Reorder the terms: -6 + 16x = 12x + 2(-5 + 4x) -6 + 16x = 12x + (-5 * 2 + 4x * 2) -6 + 16x = 12x + (-10 + 8x) Reorder the terms: -6 + 16x = -10 + 12x + 8x Combine like terms: 12x + 8x = 20x -6 + 16x = -10 + 20x Solving -6 + 16x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 16x + -20x = -10 + 20x + -20x Combine like terms: 16x + -20x = -4x -6 + -4x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -4x = -10 + 0 -6 + -4x = -10 Add '6' to each side of the equation. -6 + 6 + -4x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -10 + 6 -4x = -10 + 6 Combine like terms: -10 + 6 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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