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Simplifying 8(x + -4) + 16 = 8x + -4(8 + -1x) Reorder the terms: 8(-4 + x) + 16 = 8x + -4(8 + -1x) (-4 * 8 + x * 8) + 16 = 8x + -4(8 + -1x) (-32 + 8x) + 16 = 8x + -4(8 + -1x) Reorder the terms: -32 + 16 + 8x = 8x + -4(8 + -1x) Combine like terms: -32 + 16 = -16 -16 + 8x = 8x + -4(8 + -1x) -16 + 8x = 8x + (8 * -4 + -1x * -4) -16 + 8x = 8x + (-32 + 4x) Reorder the terms: -16 + 8x = -32 + 8x + 4x Combine like terms: 8x + 4x = 12x -16 + 8x = -32 + 12x Solving -16 + 8x = -32 + 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. -16 + 8x + -12x = -32 + 12x + -12x Combine like terms: 8x + -12x = -4x -16 + -4x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -4x = -32 + 0 -16 + -4x = -32 Add '16' to each side of the equation. -16 + 16 + -4x = -32 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = -32 + 16 -4x = -32 + 16 Combine like terms: -32 + 16 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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