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Simplifying 3 + 2x = 5(x + 1) + -4(x + -3) Reorder the terms: 3 + 2x = 5(1 + x) + -4(x + -3) 3 + 2x = (1 * 5 + x * 5) + -4(x + -3) 3 + 2x = (5 + 5x) + -4(x + -3) Reorder the terms: 3 + 2x = 5 + 5x + -4(-3 + x) 3 + 2x = 5 + 5x + (-3 * -4 + x * -4) 3 + 2x = 5 + 5x + (12 + -4x) Reorder the terms: 3 + 2x = 5 + 12 + 5x + -4x Combine like terms: 5 + 12 = 17 3 + 2x = 17 + 5x + -4x Combine like terms: 5x + -4x = 1x 3 + 2x = 17 + 1x Solving 3 + 2x = 17 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 2x + -1x = 17 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 17 + 0 3 + 1x = 17 Add '-3' to each side of the equation. 3 + -3 + 1x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 17 + -3 1x = 17 + -3 Combine like terms: 17 + -3 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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