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Simplifying 12 + [5(9 + 2x)] = 7 + -5x 12 + [(9 * 5 + 2x * 5)] = 7 + -5x 12 + [(45 + 10x)] = 7 + -5x 12 + [45 + 10x] = 7 + -5x Remove brackets around [45 + 10x] 12 + 45 + 10x = 7 + -5x Combine like terms: 12 + 45 = 57 57 + 10x = 7 + -5x Solving 57 + 10x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 57 + 10x + 5x = 7 + -5x + 5x Combine like terms: 10x + 5x = 15x 57 + 15x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 57 + 15x = 7 + 0 57 + 15x = 7 Add '-57' to each side of the equation. 57 + -57 + 15x = 7 + -57 Combine like terms: 57 + -57 = 0 0 + 15x = 7 + -57 15x = 7 + -57 Combine like terms: 7 + -57 = -50 15x = -50 Divide each side by '15'. x = -3.333333333 Simplifying x = -3.333333333
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