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Simplifying 8x + 2(x + -6) = 7x + 3 + -14 Reorder the terms: 8x + 2(-6 + x) = 7x + 3 + -14 8x + (-6 * 2 + x * 2) = 7x + 3 + -14 8x + (-12 + 2x) = 7x + 3 + -14 Reorder the terms: -12 + 8x + 2x = 7x + 3 + -14 Combine like terms: 8x + 2x = 10x -12 + 10x = 7x + 3 + -14 Reorder the terms: -12 + 10x = 3 + -14 + 7x Combine like terms: 3 + -14 = -11 -12 + 10x = -11 + 7x Solving -12 + 10x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 10x + -7x = -11 + 7x + -7x Combine like terms: 10x + -7x = 3x -12 + 3x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 3x = -11 + 0 -12 + 3x = -11 Add '12' to each side of the equation. -12 + 12 + 3x = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -11 + 12 3x = -11 + 12 Combine like terms: -11 + 12 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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