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Simplifying 1 + 5(7 + 3x) = 12x + 5 1 + (7 * 5 + 3x * 5) = 12x + 5 1 + (35 + 15x) = 12x + 5 Combine like terms: 1 + 35 = 36 36 + 15x = 12x + 5 Reorder the terms: 36 + 15x = 5 + 12x Solving 36 + 15x = 5 + 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. 36 + 15x + -12x = 5 + 12x + -12x Combine like terms: 15x + -12x = 3x 36 + 3x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + 3x = 5 + 0 36 + 3x = 5 Add '-36' to each side of the equation. 36 + -36 + 3x = 5 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 5 + -36 3x = 5 + -36 Combine like terms: 5 + -36 = -31 3x = -31 Divide each side by '3'. x = -10.33333333 Simplifying x = -10.33333333
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