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Simplifying 1 + 5(7 + 3x) = 12 + 5x 1 + (7 * 5 + 3x * 5) = 12 + 5x 1 + (35 + 15x) = 12 + 5x Combine like terms: 1 + 35 = 36 36 + 15x = 12 + 5x Solving 36 + 15x = 12 + 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. 36 + 15x + -5x = 12 + 5x + -5x Combine like terms: 15x + -5x = 10x 36 + 10x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 10x = 12 + 0 36 + 10x = 12 Add '-36' to each side of the equation. 36 + -36 + 10x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = 12 + -36 10x = 12 + -36 Combine like terms: 12 + -36 = -24 10x = -24 Divide each side by '10'. x = -2.4 Simplifying x = -2.4
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