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Simplifying 3(2x + 7) + -4x = 7(x + 5) Reorder the terms: 3(7 + 2x) + -4x = 7(x + 5) (7 * 3 + 2x * 3) + -4x = 7(x + 5) (21 + 6x) + -4x = 7(x + 5) Combine like terms: 6x + -4x = 2x 21 + 2x = 7(x + 5) Reorder the terms: 21 + 2x = 7(5 + x) 21 + 2x = (5 * 7 + x * 7) 21 + 2x = (35 + 7x) Solving 21 + 2x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 2x + -7x = 35 + 7x + -7x Combine like terms: 2x + -7x = -5x 21 + -5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -5x = 35 + 0 21 + -5x = 35 Add '-21' to each side of the equation. 21 + -21 + -5x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 35 + -21 -5x = 35 + -21 Combine like terms: 35 + -21 = 14 -5x = 14 Divide each side by '-5'. x = -2.8 Simplifying x = -2.8
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