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Simplifying 7(2x + 19) = 3(4x + 5) Reorder the terms: 7(19 + 2x) = 3(4x + 5) (19 * 7 + 2x * 7) = 3(4x + 5) (133 + 14x) = 3(4x + 5) Reorder the terms: 133 + 14x = 3(5 + 4x) 133 + 14x = (5 * 3 + 4x * 3) 133 + 14x = (15 + 12x) Solving 133 + 14x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 133 + 14x + -12x = 15 + 12x + -12x Combine like terms: 14x + -12x = 2x 133 + 2x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 133 + 2x = 15 + 0 133 + 2x = 15 Add '-133' to each side of the equation. 133 + -133 + 2x = 15 + -133 Combine like terms: 133 + -133 = 0 0 + 2x = 15 + -133 2x = 15 + -133 Combine like terms: 15 + -133 = -118 2x = -118 Divide each side by '2'. x = -59 Simplifying x = -59
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