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Simplifying 9(3 + 2) + -10x = 12x + -7 Combine like terms: 3 + 2 = 5 9(5) + -10x = 12x + -7 Multiply 9 * 5 45 + -10x = 12x + -7 Reorder the terms: 45 + -10x = -7 + 12x Solving 45 + -10x = -7 + 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. 45 + -10x + -12x = -7 + 12x + -12x Combine like terms: -10x + -12x = -22x 45 + -22x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -22x = -7 + 0 45 + -22x = -7 Add '-45' to each side of the equation. 45 + -45 + -22x = -7 + -45 Combine like terms: 45 + -45 = 0 0 + -22x = -7 + -45 -22x = -7 + -45 Combine like terms: -7 + -45 = -52 -22x = -52 Divide each side by '-22'. x = 2.363636364 Simplifying x = 2.363636364
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