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Simplifying 4x + 7 + 5(x + 3) = 2x + 1 Reorder the terms: 4x + 7 + 5(3 + x) = 2x + 1 4x + 7 + (3 * 5 + x * 5) = 2x + 1 4x + 7 + (15 + 5x) = 2x + 1 Reorder the terms: 7 + 15 + 4x + 5x = 2x + 1 Combine like terms: 7 + 15 = 22 22 + 4x + 5x = 2x + 1 Combine like terms: 4x + 5x = 9x 22 + 9x = 2x + 1 Reorder the terms: 22 + 9x = 1 + 2x Solving 22 + 9x = 1 + 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. 22 + 9x + -2x = 1 + 2x + -2x Combine like terms: 9x + -2x = 7x 22 + 7x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 7x = 1 + 0 22 + 7x = 1 Add '-22' to each side of the equation. 22 + -22 + 7x = 1 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 1 + -22 7x = 1 + -22 Combine like terms: 1 + -22 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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