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Simplifying 6(x + -2) + -7(x + -8) = 6 + -3(x + -6) Reorder the terms: 6(-2 + x) + -7(x + -8) = 6 + -3(x + -6) (-2 * 6 + x * 6) + -7(x + -8) = 6 + -3(x + -6) (-12 + 6x) + -7(x + -8) = 6 + -3(x + -6) Reorder the terms: -12 + 6x + -7(-8 + x) = 6 + -3(x + -6) -12 + 6x + (-8 * -7 + x * -7) = 6 + -3(x + -6) -12 + 6x + (56 + -7x) = 6 + -3(x + -6) Reorder the terms: -12 + 56 + 6x + -7x = 6 + -3(x + -6) Combine like terms: -12 + 56 = 44 44 + 6x + -7x = 6 + -3(x + -6) Combine like terms: 6x + -7x = -1x 44 + -1x = 6 + -3(x + -6) Reorder the terms: 44 + -1x = 6 + -3(-6 + x) 44 + -1x = 6 + (-6 * -3 + x * -3) 44 + -1x = 6 + (18 + -3x) Combine like terms: 6 + 18 = 24 44 + -1x = 24 + -3x Solving 44 + -1x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 44 + -1x + 3x = 24 + -3x + 3x Combine like terms: -1x + 3x = 2x 44 + 2x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 44 + 2x = 24 + 0 44 + 2x = 24 Add '-44' to each side of the equation. 44 + -44 + 2x = 24 + -44 Combine like terms: 44 + -44 = 0 0 + 2x = 24 + -44 2x = 24 + -44 Combine like terms: 24 + -44 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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