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Simplifying 5x + 7x = -2(8 + -6x) + -8(8 + 5x) Combine like terms: 5x + 7x = 12x 12x = -2(8 + -6x) + -8(8 + 5x) 12x = (8 * -2 + -6x * -2) + -8(8 + 5x) 12x = (-16 + 12x) + -8(8 + 5x) 12x = -16 + 12x + (8 * -8 + 5x * -8) 12x = -16 + 12x + (-64 + -40x) Reorder the terms: 12x = -16 + -64 + 12x + -40x Combine like terms: -16 + -64 = -80 12x = -80 + 12x + -40x Combine like terms: 12x + -40x = -28x 12x = -80 + -28x Solving 12x = -80 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 12x + 28x = -80 + -28x + 28x Combine like terms: 12x + 28x = 40x 40x = -80 + -28x + 28x Combine like terms: -28x + 28x = 0 40x = -80 + 0 40x = -80 Divide each side by '40'. x = -2 Simplifying x = -2
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