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Simplifying -4(x + 3) = 10 + 7x Reorder the terms: -4(3 + x) = 10 + 7x (3 * -4 + x * -4) = 10 + 7x (-12 + -4x) = 10 + 7x Solving -12 + -4x = 10 + 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 + -4x + -7x = 10 + 7x + -7x Combine like terms: -4x + -7x = -11x -12 + -11x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -11x = 10 + 0 -12 + -11x = 10 Add '12' to each side of the equation. -12 + 12 + -11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 10 + 12 -11x = 10 + 12 Combine like terms: 10 + 12 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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