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Simplifying 2x + 5 + -1x + -4 = 9(x + 3) + -6x Reorder the terms: 5 + -4 + 2x + -1x = 9(x + 3) + -6x Combine like terms: 5 + -4 = 1 1 + 2x + -1x = 9(x + 3) + -6x Combine like terms: 2x + -1x = 1x 1 + 1x = 9(x + 3) + -6x Reorder the terms: 1 + 1x = 9(3 + x) + -6x 1 + 1x = (3 * 9 + x * 9) + -6x 1 + 1x = (27 + 9x) + -6x Combine like terms: 9x + -6x = 3x 1 + 1x = 27 + 3x Solving 1 + 1x = 27 + 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. 1 + 1x + -3x = 27 + 3x + -3x Combine like terms: 1x + -3x = -2x 1 + -2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -2x = 27 + 0 1 + -2x = 27 Add '-1' to each side of the equation. 1 + -1 + -2x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 27 + -1 -2x = 27 + -1 Combine like terms: 27 + -1 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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