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Simplifying 5(x + -2) + x = 9(x + 3) + -4x Reorder the terms: 5(-2 + x) + x = 9(x + 3) + -4x (-2 * 5 + x * 5) + x = 9(x + 3) + -4x (-10 + 5x) + x = 9(x + 3) + -4x Combine like terms: 5x + x = 6x -10 + 6x = 9(x + 3) + -4x Reorder the terms: -10 + 6x = 9(3 + x) + -4x -10 + 6x = (3 * 9 + x * 9) + -4x -10 + 6x = (27 + 9x) + -4x Combine like terms: 9x + -4x = 5x -10 + 6x = 27 + 5x Solving -10 + 6x = 27 + 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. -10 + 6x + -5x = 27 + 5x + -5x Combine like terms: 6x + -5x = 1x -10 + 1x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 1x = 27 + 0 -10 + 1x = 27 Add '10' to each side of the equation. -10 + 10 + 1x = 27 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 27 + 10 1x = 27 + 10 Combine like terms: 27 + 10 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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