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Simplifying 4(x + 1) + -1(4 + 9x) = -6x Reorder the terms: 4(1 + x) + -1(4 + 9x) = -6x (1 * 4 + x * 4) + -1(4 + 9x) = -6x (4 + 4x) + -1(4 + 9x) = -6x 4 + 4x + (4 * -1 + 9x * -1) = -6x 4 + 4x + (-4 + -9x) = -6x Reorder the terms: 4 + -4 + 4x + -9x = -6x Combine like terms: 4 + -4 = 0 0 + 4x + -9x = -6x 4x + -9x = -6x Combine like terms: 4x + -9x = -5x -5x = -6x Solving -5x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5x + 6x = -6x + 6x Combine like terms: -5x + 6x = 1x 1x = -6x + 6x Combine like terms: -6x + 6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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