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Simplifying 4x + 8(x + -6) = 4(x + -8) Reorder the terms: 4x + 8(-6 + x) = 4(x + -8) 4x + (-6 * 8 + x * 8) = 4(x + -8) 4x + (-48 + 8x) = 4(x + -8) Reorder the terms: -48 + 4x + 8x = 4(x + -8) Combine like terms: 4x + 8x = 12x -48 + 12x = 4(x + -8) Reorder the terms: -48 + 12x = 4(-8 + x) -48 + 12x = (-8 * 4 + x * 4) -48 + 12x = (-32 + 4x) Solving -48 + 12x = -32 + 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. -48 + 12x + -4x = -32 + 4x + -4x Combine like terms: 12x + -4x = 8x -48 + 8x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + 8x = -32 + 0 -48 + 8x = -32 Add '48' to each side of the equation. -48 + 48 + 8x = -32 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = -32 + 48 8x = -32 + 48 Combine like terms: -32 + 48 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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