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Simplifying 4 + 2x = 3(2x + 2) + -5(x + -3) Reorder the terms: 4 + 2x = 3(2 + 2x) + -5(x + -3) 4 + 2x = (2 * 3 + 2x * 3) + -5(x + -3) 4 + 2x = (6 + 6x) + -5(x + -3) Reorder the terms: 4 + 2x = 6 + 6x + -5(-3 + x) 4 + 2x = 6 + 6x + (-3 * -5 + x * -5) 4 + 2x = 6 + 6x + (15 + -5x) Reorder the terms: 4 + 2x = 6 + 15 + 6x + -5x Combine like terms: 6 + 15 = 21 4 + 2x = 21 + 6x + -5x Combine like terms: 6x + -5x = 1x 4 + 2x = 21 + 1x Solving 4 + 2x = 21 + 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. 4 + 2x + -1x = 21 + 1x + -1x Combine like terms: 2x + -1x = 1x 4 + 1x = 21 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 1x = 21 + 0 4 + 1x = 21 Add '-4' to each side of the equation. 4 + -4 + 1x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 21 + -4 1x = 21 + -4 Combine like terms: 21 + -4 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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