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Simplifying -2(6 + x) + 9x = 6x + 10(x + 6) (6 * -2 + x * -2) + 9x = 6x + 10(x + 6) (-12 + -2x) + 9x = 6x + 10(x + 6) Combine like terms: -2x + 9x = 7x -12 + 7x = 6x + 10(x + 6) Reorder the terms: -12 + 7x = 6x + 10(6 + x) -12 + 7x = 6x + (6 * 10 + x * 10) -12 + 7x = 6x + (60 + 10x) Reorder the terms: -12 + 7x = 60 + 6x + 10x Combine like terms: 6x + 10x = 16x -12 + 7x = 60 + 16x Solving -12 + 7x = 60 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 7x + -16x = 60 + 16x + -16x Combine like terms: 7x + -16x = -9x -12 + -9x = 60 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -9x = 60 + 0 -12 + -9x = 60 Add '12' to each side of the equation. -12 + 12 + -9x = 60 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 60 + 12 -9x = 60 + 12 Combine like terms: 60 + 12 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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