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Simplifying -7(x + 6) = 3(-8 + x) Reorder the terms: -7(6 + x) = 3(-8 + x) (6 * -7 + x * -7) = 3(-8 + x) (-42 + -7x) = 3(-8 + x) -42 + -7x = (-8 * 3 + x * 3) -42 + -7x = (-24 + 3x) Solving -42 + -7x = -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. -42 + -7x + -3x = -24 + 3x + -3x Combine like terms: -7x + -3x = -10x -42 + -10x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + -10x = -24 + 0 -42 + -10x = -24 Add '42' to each side of the equation. -42 + 42 + -10x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -10x = -24 + 42 -10x = -24 + 42 Combine like terms: -24 + 42 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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