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Simplifying 11x + -9 + 3x + -12 + x + -8 = 6x + 13 + -4x + 2 Reorder the terms: -9 + -12 + -8 + 11x + 3x + x = 6x + 13 + -4x + 2 Combine like terms: -9 + -12 = -21 -21 + -8 + 11x + 3x + x = 6x + 13 + -4x + 2 Combine like terms: -21 + -8 = -29 -29 + 11x + 3x + x = 6x + 13 + -4x + 2 Combine like terms: 11x + 3x = 14x -29 + 14x + x = 6x + 13 + -4x + 2 Combine like terms: 14x + x = 15x -29 + 15x = 6x + 13 + -4x + 2 Reorder the terms: -29 + 15x = 13 + 2 + 6x + -4x Combine like terms: 13 + 2 = 15 -29 + 15x = 15 + 6x + -4x Combine like terms: 6x + -4x = 2x -29 + 15x = 15 + 2x Solving -29 + 15x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -29 + 15x + -2x = 15 + 2x + -2x Combine like terms: 15x + -2x = 13x -29 + 13x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 13x = 15 + 0 -29 + 13x = 15 Add '29' to each side of the equation. -29 + 29 + 13x = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = 15 + 29 13x = 15 + 29 Combine like terms: 15 + 29 = 44 13x = 44 Divide each side by '13'. x = 3.384615385 Simplifying x = 3.384615385
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