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Simplifying 7x + -21 + 8x + -8 = 2x + -10 Reorder the terms: -21 + -8 + 7x + 8x = 2x + -10 Combine like terms: -21 + -8 = -29 -29 + 7x + 8x = 2x + -10 Combine like terms: 7x + 8x = 15x -29 + 15x = 2x + -10 Reorder the terms: -29 + 15x = -10 + 2x Solving -29 + 15x = -10 + 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 = -10 + 2x + -2x Combine like terms: 15x + -2x = 13x -29 + 13x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 13x = -10 + 0 -29 + 13x = -10 Add '29' to each side of the equation. -29 + 29 + 13x = -10 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = -10 + 29 13x = -10 + 29 Combine like terms: -10 + 29 = 19 13x = 19 Divide each side by '13'. x = 1.461538462 Simplifying x = 1.461538462
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