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Simplifying 2(x + 3) + -3x = 8 + -2 + -2(2x + -5) Reorder the terms: 2(3 + x) + -3x = 8 + -2 + -2(2x + -5) (3 * 2 + x * 2) + -3x = 8 + -2 + -2(2x + -5) (6 + 2x) + -3x = 8 + -2 + -2(2x + -5) Combine like terms: 2x + -3x = -1x 6 + -1x = 8 + -2 + -2(2x + -5) Reorder the terms: 6 + -1x = 8 + -2 + -2(-5 + 2x) 6 + -1x = 8 + -2 + (-5 * -2 + 2x * -2) 6 + -1x = 8 + -2 + (10 + -4x) Combine like terms: 8 + -2 = 6 6 + -1x = 6 + 10 + -4x Combine like terms: 6 + 10 = 16 6 + -1x = 16 + -4x Solving 6 + -1x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -1x + 4x = 16 + -4x + 4x Combine like terms: -1x + 4x = 3x 6 + 3x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 3x = 16 + 0 6 + 3x = 16 Add '-6' to each side of the equation. 6 + -6 + 3x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 16 + -6 3x = 16 + -6 Combine like terms: 16 + -6 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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