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Simplifying 3x + (5 + -2x) = 2(8 + -3x) + 6 Remove parenthesis around (5 + -2x) 3x + 5 + -2x = 2(8 + -3x) + 6 Reorder the terms: 5 + 3x + -2x = 2(8 + -3x) + 6 Combine like terms: 3x + -2x = 1x 5 + 1x = 2(8 + -3x) + 6 5 + 1x = (8 * 2 + -3x * 2) + 6 5 + 1x = (16 + -6x) + 6 Reorder the terms: 5 + 1x = 16 + 6 + -6x Combine like terms: 16 + 6 = 22 5 + 1x = 22 + -6x Solving 5 + 1x = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 1x + 6x = 22 + -6x + 6x Combine like terms: 1x + 6x = 7x 5 + 7x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 7x = 22 + 0 5 + 7x = 22 Add '-5' to each side of the equation. 5 + -5 + 7x = 22 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 22 + -5 7x = 22 + -5 Combine like terms: 22 + -5 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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