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Simplifying 5x + 3x = -8(x + 4) + -4(8 + 4) Combine like terms: 5x + 3x = 8x 8x = -8(x + 4) + -4(8 + 4) Reorder the terms: 8x = -8(4 + x) + -4(8 + 4) 8x = (4 * -8 + x * -8) + -4(8 + 4) 8x = (-32 + -8x) + -4(8 + 4) Combine like terms: 8 + 4 = 12 8x = -32 + -8x + -4(12) Multiply -4 * 12 8x = -32 + -8x + -48 Reorder the terms: 8x = -32 + -48 + -8x Combine like terms: -32 + -48 = -80 8x = -80 + -8x Solving 8x = -80 + -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. 8x + 8x = -80 + -8x + 8x Combine like terms: 8x + 8x = 16x 16x = -80 + -8x + 8x Combine like terms: -8x + 8x = 0 16x = -80 + 0 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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