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Simplifying 8x + -7 = -2(x + 6) Reorder the terms: -7 + 8x = -2(x + 6) Reorder the terms: -7 + 8x = -2(6 + x) -7 + 8x = (6 * -2 + x * -2) -7 + 8x = (-12 + -2x) Solving -7 + 8x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 8x + 2x = -12 + -2x + 2x Combine like terms: 8x + 2x = 10x -7 + 10x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 10x = -12 + 0 -7 + 10x = -12 Add '7' to each side of the equation. -7 + 7 + 10x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = -12 + 7 10x = -12 + 7 Combine like terms: -12 + 7 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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