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Simplifying 3 + -7x + 10x + -14 = -9 + 6x + 9x + -20 Reorder the terms: 3 + -14 + -7x + 10x = -9 + 6x + 9x + -20 Combine like terms: 3 + -14 = -11 -11 + -7x + 10x = -9 + 6x + 9x + -20 Combine like terms: -7x + 10x = 3x -11 + 3x = -9 + 6x + 9x + -20 Reorder the terms: -11 + 3x = -9 + -20 + 6x + 9x Combine like terms: -9 + -20 = -29 -11 + 3x = -29 + 6x + 9x Combine like terms: 6x + 9x = 15x -11 + 3x = -29 + 15x Solving -11 + 3x = -29 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -11 + 3x + -15x = -29 + 15x + -15x Combine like terms: 3x + -15x = -12x -11 + -12x = -29 + 15x + -15x Combine like terms: 15x + -15x = 0 -11 + -12x = -29 + 0 -11 + -12x = -29 Add '11' to each side of the equation. -11 + 11 + -12x = -29 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = -29 + 11 -12x = -29 + 11 Combine like terms: -29 + 11 = -18 -12x = -18 Divide each side by '-12'. x = 1.5 Simplifying x = 1.5
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