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Simplifying 9(x + -1) + 4(x + 1) = 14 + -5x Reorder the terms: 9(-1 + x) + 4(x + 1) = 14 + -5x (-1 * 9 + x * 9) + 4(x + 1) = 14 + -5x (-9 + 9x) + 4(x + 1) = 14 + -5x Reorder the terms: -9 + 9x + 4(1 + x) = 14 + -5x -9 + 9x + (1 * 4 + x * 4) = 14 + -5x -9 + 9x + (4 + 4x) = 14 + -5x Reorder the terms: -9 + 4 + 9x + 4x = 14 + -5x Combine like terms: -9 + 4 = -5 -5 + 9x + 4x = 14 + -5x Combine like terms: 9x + 4x = 13x -5 + 13x = 14 + -5x Solving -5 + 13x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + 13x + 5x = 14 + -5x + 5x Combine like terms: 13x + 5x = 18x -5 + 18x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 18x = 14 + 0 -5 + 18x = 14 Add '5' to each side of the equation. -5 + 5 + 18x = 14 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 14 + 5 18x = 14 + 5 Combine like terms: 14 + 5 = 19 18x = 19 Divide each side by '18'. x = 1.055555556 Simplifying x = 1.055555556
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