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Simplifying 2(9x + -7) = 5(3 + 12x) Reorder the terms: 2(-7 + 9x) = 5(3 + 12x) (-7 * 2 + 9x * 2) = 5(3 + 12x) (-14 + 18x) = 5(3 + 12x) -14 + 18x = (3 * 5 + 12x * 5) -14 + 18x = (15 + 60x) Solving -14 + 18x = 15 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -14 + 18x + -60x = 15 + 60x + -60x Combine like terms: 18x + -60x = -42x -14 + -42x = 15 + 60x + -60x Combine like terms: 60x + -60x = 0 -14 + -42x = 15 + 0 -14 + -42x = 15 Add '14' to each side of the equation. -14 + 14 + -42x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -42x = 15 + 14 -42x = 15 + 14 Combine like terms: 15 + 14 = 29 -42x = 29 Divide each side by '-42'. x = -0.6904761905 Simplifying x = -0.6904761905
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