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Simplifying x + 2x + 3x + 4x + -9(x + -1) = 13x + -5 Reorder the terms: x + 2x + 3x + 4x + -9(-1 + x) = 13x + -5 x + 2x + 3x + 4x + (-1 * -9 + x * -9) = 13x + -5 x + 2x + 3x + 4x + (9 + -9x) = 13x + -5 Reorder the terms: 9 + x + 2x + 3x + 4x + -9x = 13x + -5 Combine like terms: x + 2x = 3x 9 + 3x + 3x + 4x + -9x = 13x + -5 Combine like terms: 3x + 3x = 6x 9 + 6x + 4x + -9x = 13x + -5 Combine like terms: 6x + 4x = 10x 9 + 10x + -9x = 13x + -5 Combine like terms: 10x + -9x = 1x 9 + 1x = 13x + -5 Reorder the terms: 9 + 1x = -5 + 13x Solving 9 + 1x = -5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9 + 1x + -13x = -5 + 13x + -13x Combine like terms: 1x + -13x = -12x 9 + -12x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -12x = -5 + 0 9 + -12x = -5 Add '-9' to each side of the equation. 9 + -9 + -12x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -5 + -9 -12x = -5 + -9 Combine like terms: -5 + -9 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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