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Simplifying -2(8x + 4) = -8(3 + 2x) + x Reorder the terms: -2(4 + 8x) = -8(3 + 2x) + x (4 * -2 + 8x * -2) = -8(3 + 2x) + x (-8 + -16x) = -8(3 + 2x) + x -8 + -16x = (3 * -8 + 2x * -8) + x -8 + -16x = (-24 + -16x) + x Combine like terms: -16x + x = -15x -8 + -16x = -24 + -15x Solving -8 + -16x = -24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -8 + -16x + 15x = -24 + -15x + 15x Combine like terms: -16x + 15x = -1x -8 + -1x = -24 + -15x + 15x Combine like terms: -15x + 15x = 0 -8 + -1x = -24 + 0 -8 + -1x = -24 Add '8' to each side of the equation. -8 + 8 + -1x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -24 + 8 -1x = -24 + 8 Combine like terms: -24 + 8 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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