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Simplifying 4x + 3 = 21 + -1(x + 1) Reorder the terms: 3 + 4x = 21 + -1(x + 1) Reorder the terms: 3 + 4x = 21 + -1(1 + x) 3 + 4x = 21 + (1 * -1 + x * -1) 3 + 4x = 21 + (-1 + -1x) Combine like terms: 21 + -1 = 20 3 + 4x = 20 + -1x Solving 3 + 4x = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 4x + x = 20 + -1x + x Combine like terms: 4x + x = 5x 3 + 5x = 20 + -1x + x Combine like terms: -1x + x = 0 3 + 5x = 20 + 0 3 + 5x = 20 Add '-3' to each side of the equation. 3 + -3 + 5x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 20 + -3 5x = 20 + -3 Combine like terms: 20 + -3 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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