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Simplifying 9(x + -1) + 4(x + 1) = 18 + -3x Reorder the terms: 9(-1 + x) + 4(x + 1) = 18 + -3x (-1 * 9 + x * 9) + 4(x + 1) = 18 + -3x (-9 + 9x) + 4(x + 1) = 18 + -3x Reorder the terms: -9 + 9x + 4(1 + x) = 18 + -3x -9 + 9x + (1 * 4 + x * 4) = 18 + -3x -9 + 9x + (4 + 4x) = 18 + -3x Reorder the terms: -9 + 4 + 9x + 4x = 18 + -3x Combine like terms: -9 + 4 = -5 -5 + 9x + 4x = 18 + -3x Combine like terms: 9x + 4x = 13x -5 + 13x = 18 + -3x Solving -5 + 13x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 13x + 3x = 18 + -3x + 3x Combine like terms: 13x + 3x = 16x -5 + 16x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 16x = 18 + 0 -5 + 16x = 18 Add '5' to each side of the equation. -5 + 5 + 16x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 16x = 18 + 5 16x = 18 + 5 Combine like terms: 18 + 5 = 23 16x = 23 Divide each side by '16'. x = 1.4375 Simplifying x = 1.4375
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