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Simplifying 8 + 2(x + -4) = 7 + -6(x + -8) Reorder the terms: 8 + 2(-4 + x) = 7 + -6(x + -8) 8 + (-4 * 2 + x * 2) = 7 + -6(x + -8) 8 + (-8 + 2x) = 7 + -6(x + -8) Combine like terms: 8 + -8 = 0 0 + 2x = 7 + -6(x + -8) 2x = 7 + -6(x + -8) Reorder the terms: 2x = 7 + -6(-8 + x) 2x = 7 + (-8 * -6 + x * -6) 2x = 7 + (48 + -6x) Combine like terms: 7 + 48 = 55 2x = 55 + -6x Solving 2x = 55 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2x + 6x = 55 + -6x + 6x Combine like terms: 2x + 6x = 8x 8x = 55 + -6x + 6x Combine like terms: -6x + 6x = 0 8x = 55 + 0 8x = 55 Divide each side by '8'. x = 6.875 Simplifying x = 6.875
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