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Simplifying 1(8x + -2) = 3(4)(x + 2) Reorder the terms: 1(-2 + 8x) = 3(4)(x + 2) (-2 * 1 + 8x * 1) = 3(4)(x + 2) (-2 + 8x) = 3(4)(x + 2) Reorder the terms: -2 + 8x = 3 * 4(2 + x) Multiply 3 * 4 -2 + 8x = 12(2 + x) -2 + 8x = (2 * 12 + x * 12) -2 + 8x = (24 + 12x) Solving -2 + 8x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 8x + -12x = 24 + 12x + -12x Combine like terms: 8x + -12x = -4x -2 + -4x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -4x = 24 + 0 -2 + -4x = 24 Add '2' to each side of the equation. -2 + 2 + -4x = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 24 + 2 -4x = 24 + 2 Combine like terms: 24 + 2 = 26 -4x = 26 Divide each side by '-4'. x = -6.5 Simplifying x = -6.5
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