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Simplifying 12(x + 1) = 6x + 4(2x) + 3x Reorder the terms: 12(1 + x) = 6x + 4(2x) + 3x (1 * 12 + x * 12) = 6x + 4(2x) + 3x (12 + 12x) = 6x + 4(2x) + 3x Remove parenthesis around (2x) 12 + 12x = 6x + 4 * 2x + 3x Multiply 4 * 2 12 + 12x = 6x + 8x + 3x Combine like terms: 6x + 8x = 14x 12 + 12x = 14x + 3x Combine like terms: 14x + 3x = 17x 12 + 12x = 17x Solving 12 + 12x = 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. 12 + 12x + -17x = 17x + -17x Combine like terms: 12x + -17x = -5x 12 + -5x = 17x + -17x Combine like terms: 17x + -17x = 0 12 + -5x = 0 Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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