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Simplifying -8 = -3(x + -2) + 7(x + -6) Reorder the terms: -8 = -3(-2 + x) + 7(x + -6) -8 = (-2 * -3 + x * -3) + 7(x + -6) -8 = (6 + -3x) + 7(x + -6) Reorder the terms: -8 = 6 + -3x + 7(-6 + x) -8 = 6 + -3x + (-6 * 7 + x * 7) -8 = 6 + -3x + (-42 + 7x) Reorder the terms: -8 = 6 + -42 + -3x + 7x Combine like terms: 6 + -42 = -36 -8 = -36 + -3x + 7x Combine like terms: -3x + 7x = 4x -8 = -36 + 4x Solving -8 = -36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + -4x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -4x = -36 + 0 -8 + -4x = -36 Add '8' to each side of the equation. -8 + 8 + -4x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -36 + 8 -4x = -36 + 8 Combine like terms: -36 + 8 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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