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Simplifying 4(x + 3) + 9x = 2x + 14 Reorder the terms: 4(3 + x) + 9x = 2x + 14 (3 * 4 + x * 4) + 9x = 2x + 14 (12 + 4x) + 9x = 2x + 14 Combine like terms: 4x + 9x = 13x 12 + 13x = 2x + 14 Reorder the terms: 12 + 13x = 14 + 2x Solving 12 + 13x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 13x + -2x = 14 + 2x + -2x Combine like terms: 13x + -2x = 11x 12 + 11x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 11x = 14 + 0 12 + 11x = 14 Add '-12' to each side of the equation. 12 + -12 + 11x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 14 + -12 11x = 14 + -12 Combine like terms: 14 + -12 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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