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Simplifying 48 = 4x + -4(3x + 8) Reorder the terms: 48 = 4x + -4(8 + 3x) 48 = 4x + (8 * -4 + 3x * -4) 48 = 4x + (-32 + -12x) Reorder the terms: 48 = -32 + 4x + -12x Combine like terms: 4x + -12x = -8x 48 = -32 + -8x Solving 48 = -32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 48 + 8x = -32 + -8x + 8x Combine like terms: -8x + 8x = 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 = -80 8x = -80 Divide each side by '8'. x = -10 Simplifying x = -10
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