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Simplifying 5(x + -2) + 4(x + 2) = 14 + -4x Reorder the terms: 5(-2 + x) + 4(x + 2) = 14 + -4x (-2 * 5 + x * 5) + 4(x + 2) = 14 + -4x (-10 + 5x) + 4(x + 2) = 14 + -4x Reorder the terms: -10 + 5x + 4(2 + x) = 14 + -4x -10 + 5x + (2 * 4 + x * 4) = 14 + -4x -10 + 5x + (8 + 4x) = 14 + -4x Reorder the terms: -10 + 8 + 5x + 4x = 14 + -4x Combine like terms: -10 + 8 = -2 -2 + 5x + 4x = 14 + -4x Combine like terms: 5x + 4x = 9x -2 + 9x = 14 + -4x Solving -2 + 9x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 9x + 4x = 14 + -4x + 4x Combine like terms: 9x + 4x = 13x -2 + 13x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 13x = 14 + 0 -2 + 13x = 14 Add '2' to each side of the equation. -2 + 2 + 13x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 14 + 2 13x = 14 + 2 Combine like terms: 14 + 2 = 16 13x = 16 Divide each side by '13'. x = 1.230769231 Simplifying x = 1.230769231
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