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Simplifying -3(9x + 14) = 3(5x + 46) Reorder the terms: -3(14 + 9x) = 3(5x + 46) (14 * -3 + 9x * -3) = 3(5x + 46) (-42 + -27x) = 3(5x + 46) Reorder the terms: -42 + -27x = 3(46 + 5x) -42 + -27x = (46 * 3 + 5x * 3) -42 + -27x = (138 + 15x) Solving -42 + -27x = 138 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -42 + -27x + -15x = 138 + 15x + -15x Combine like terms: -27x + -15x = -42x -42 + -42x = 138 + 15x + -15x Combine like terms: 15x + -15x = 0 -42 + -42x = 138 + 0 -42 + -42x = 138 Add '42' to each side of the equation. -42 + 42 + -42x = 138 + 42 Combine like terms: -42 + 42 = 0 0 + -42x = 138 + 42 -42x = 138 + 42 Combine like terms: 138 + 42 = 180 -42x = 180 Divide each side by '-42'. x = -4.285714286 Simplifying x = -4.285714286
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