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Simplifying 4(x + -2) + 5(x + 1) = -30 Reorder the terms: 4(-2 + x) + 5(x + 1) = -30 (-2 * 4 + x * 4) + 5(x + 1) = -30 (-8 + 4x) + 5(x + 1) = -30 Reorder the terms: -8 + 4x + 5(1 + x) = -30 -8 + 4x + (1 * 5 + x * 5) = -30 -8 + 4x + (5 + 5x) = -30 Reorder the terms: -8 + 5 + 4x + 5x = -30 Combine like terms: -8 + 5 = -3 -3 + 4x + 5x = -30 Combine like terms: 4x + 5x = 9x -3 + 9x = -30 Solving -3 + 9x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9x = -30 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = -30 + 3 9x = -30 + 3 Combine like terms: -30 + 3 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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