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Simplifying -3x + -10 = -7(x + 6) Reorder the terms: -10 + -3x = -7(x + 6) Reorder the terms: -10 + -3x = -7(6 + x) -10 + -3x = (6 * -7 + x * -7) -10 + -3x = (-42 + -7x) Solving -10 + -3x = -42 + -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. -10 + -3x + 7x = -42 + -7x + 7x Combine like terms: -3x + 7x = 4x -10 + 4x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 4x = -42 + 0 -10 + 4x = -42 Add '10' to each side of the equation. -10 + 10 + 4x = -42 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -42 + 10 4x = -42 + 10 Combine like terms: -42 + 10 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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