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Simplifying 4(1 + x) + 3x = -2(x + 1) (1 * 4 + x * 4) + 3x = -2(x + 1) (4 + 4x) + 3x = -2(x + 1) Combine like terms: 4x + 3x = 7x 4 + 7x = -2(x + 1) Reorder the terms: 4 + 7x = -2(1 + x) 4 + 7x = (1 * -2 + x * -2) 4 + 7x = (-2 + -2x) Solving 4 + 7x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 7x + 2x = -2 + -2x + 2x Combine like terms: 7x + 2x = 9x 4 + 9x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 9x = -2 + 0 4 + 9x = -2 Add '-4' to each side of the equation. 4 + -4 + 9x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -2 + -4 9x = -2 + -4 Combine like terms: -2 + -4 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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