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Simplifying 4x + 8(x + -12) = 4(x + -16) Reorder the terms: 4x + 8(-12 + x) = 4(x + -16) 4x + (-12 * 8 + x * 8) = 4(x + -16) 4x + (-96 + 8x) = 4(x + -16) Reorder the terms: -96 + 4x + 8x = 4(x + -16) Combine like terms: 4x + 8x = 12x -96 + 12x = 4(x + -16) Reorder the terms: -96 + 12x = 4(-16 + x) -96 + 12x = (-16 * 4 + x * 4) -96 + 12x = (-64 + 4x) Solving -96 + 12x = -64 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -96 + 12x + -4x = -64 + 4x + -4x Combine like terms: 12x + -4x = 8x -96 + 8x = -64 + 4x + -4x Combine like terms: 4x + -4x = 0 -96 + 8x = -64 + 0 -96 + 8x = -64 Add '96' to each side of the equation. -96 + 96 + 8x = -64 + 96 Combine like terms: -96 + 96 = 0 0 + 8x = -64 + 96 8x = -64 + 96 Combine like terms: -64 + 96 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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