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Simplifying 10x + 13x + -22 + -12x = 6x + 10x + -15x + 11 Reorder the terms: -22 + 10x + 13x + -12x = 6x + 10x + -15x + 11 Combine like terms: 10x + 13x = 23x -22 + 23x + -12x = 6x + 10x + -15x + 11 Combine like terms: 23x + -12x = 11x -22 + 11x = 6x + 10x + -15x + 11 Reorder the terms: -22 + 11x = 11 + 6x + 10x + -15x Combine like terms: 6x + 10x = 16x -22 + 11x = 11 + 16x + -15x Combine like terms: 16x + -15x = 1x -22 + 11x = 11 + 1x Solving -22 + 11x = 11 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -22 + 11x + -1x = 11 + 1x + -1x Combine like terms: 11x + -1x = 10x -22 + 10x = 11 + 1x + -1x Combine like terms: 1x + -1x = 0 -22 + 10x = 11 + 0 -22 + 10x = 11 Add '22' to each side of the equation. -22 + 22 + 10x = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 10x = 11 + 22 10x = 11 + 22 Combine like terms: 11 + 22 = 33 10x = 33 Divide each side by '10'. x = 3.3 Simplifying x = 3.3
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