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Simplifying 9x + 13 + -6x + -31 = 6(2x + -9) Reorder the terms: 13 + -31 + 9x + -6x = 6(2x + -9) Combine like terms: 13 + -31 = -18 -18 + 9x + -6x = 6(2x + -9) Combine like terms: 9x + -6x = 3x -18 + 3x = 6(2x + -9) Reorder the terms: -18 + 3x = 6(-9 + 2x) -18 + 3x = (-9 * 6 + 2x * 6) -18 + 3x = (-54 + 12x) Solving -18 + 3x = -54 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 3x + -12x = -54 + 12x + -12x Combine like terms: 3x + -12x = -9x -18 + -9x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -9x = -54 + 0 -18 + -9x = -54 Add '18' to each side of the equation. -18 + 18 + -9x = -54 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = -54 + 18 -9x = -54 + 18 Combine like terms: -54 + 18 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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