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Simplifying 4(3x + 7) + -7x = 45 + 2x Reorder the terms: 4(7 + 3x) + -7x = 45 + 2x (7 * 4 + 3x * 4) + -7x = 45 + 2x (28 + 12x) + -7x = 45 + 2x Combine like terms: 12x + -7x = 5x 28 + 5x = 45 + 2x Solving 28 + 5x = 45 + 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. 28 + 5x + -2x = 45 + 2x + -2x Combine like terms: 5x + -2x = 3x 28 + 3x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 3x = 45 + 0 28 + 3x = 45 Add '-28' to each side of the equation. 28 + -28 + 3x = 45 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 45 + -28 3x = 45 + -28 Combine like terms: 45 + -28 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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