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Simplifying 8(x + -2) = 3(2x + 4) Reorder the terms: 8(-2 + x) = 3(2x + 4) (-2 * 8 + x * 8) = 3(2x + 4) (-16 + 8x) = 3(2x + 4) Reorder the terms: -16 + 8x = 3(4 + 2x) -16 + 8x = (4 * 3 + 2x * 3) -16 + 8x = (12 + 6x) Solving -16 + 8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x -16 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 2x = 12 + 0 -16 + 2x = 12 Add '16' to each side of the equation. -16 + 16 + 2x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 12 + 16 2x = 12 + 16 Combine like terms: 12 + 16 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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