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Simplifying 3 + -4(x + 1) = 7x Reorder the terms: 3 + -4(1 + x) = 7x 3 + (1 * -4 + x * -4) = 7x 3 + (-4 + -4x) = 7x Combine like terms: 3 + -4 = -1 -1 + -4x = 7x Solving -1 + -4x = 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. -1 + -4x + -7x = 7x + -7x Combine like terms: -4x + -7x = -11x -1 + -11x = 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -11x = 0 Add '1' to each side of the equation. -1 + 1 + -11x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = 0 + 1 -11x = 0 + 1 Combine like terms: 0 + 1 = 1 -11x = 1 Divide each side by '-11'. x = -0.09090909091 Simplifying x = -0.09090909091
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