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Simplifying 10 + -5x + 9x = -2(-6x + 7) Combine like terms: -5x + 9x = 4x 10 + 4x = -2(-6x + 7) Reorder the terms: 10 + 4x = -2(7 + -6x) 10 + 4x = (7 * -2 + -6x * -2) 10 + 4x = (-14 + 12x) Solving 10 + 4x = -14 + 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. 10 + 4x + -12x = -14 + 12x + -12x Combine like terms: 4x + -12x = -8x 10 + -8x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -8x = -14 + 0 10 + -8x = -14 Add '-10' to each side of the equation. 10 + -10 + -8x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -14 + -10 -8x = -14 + -10 Combine like terms: -14 + -10 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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