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Simplifying 3x + 4 = 17 + -2(x + 1) Reorder the terms: 4 + 3x = 17 + -2(x + 1) Reorder the terms: 4 + 3x = 17 + -2(1 + x) 4 + 3x = 17 + (1 * -2 + x * -2) 4 + 3x = 17 + (-2 + -2x) Combine like terms: 17 + -2 = 15 4 + 3x = 15 + -2x Solving 4 + 3x = 15 + -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. 4 + 3x + 2x = 15 + -2x + 2x Combine like terms: 3x + 2x = 5x 4 + 5x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 5x = 15 + 0 4 + 5x = 15 Add '-4' to each side of the equation. 4 + -4 + 5x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 15 + -4 5x = 15 + -4 Combine like terms: 15 + -4 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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