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Simplifying 1 + 5(7 + 3x) = 12x + 5x 1 + (7 * 5 + 3x * 5) = 12x + 5x 1 + (35 + 15x) = 12x + 5x Combine like terms: 1 + 35 = 36 36 + 15x = 12x + 5x Combine like terms: 12x + 5x = 17x 36 + 15x = 17x Solving 36 + 15x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 36 + 15x + -17x = 17x + -17x Combine like terms: 15x + -17x = -2x 36 + -2x = 17x + -17x Combine like terms: 17x + -17x = 0 36 + -2x = 0 Add '-36' to each side of the equation. 36 + -36 + -2x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 0 + -36 -2x = 0 + -36 Combine like terms: 0 + -36 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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