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Simplifying 2(x + 3) + -3x = 8 + -2(2x + -5) Reorder the terms: 2(3 + x) + -3x = 8 + -2(2x + -5) (3 * 2 + x * 2) + -3x = 8 + -2(2x + -5) (6 + 2x) + -3x = 8 + -2(2x + -5) Combine like terms: 2x + -3x = -1x 6 + -1x = 8 + -2(2x + -5) Reorder the terms: 6 + -1x = 8 + -2(-5 + 2x) 6 + -1x = 8 + (-5 * -2 + 2x * -2) 6 + -1x = 8 + (10 + -4x) Combine like terms: 8 + 10 = 18 6 + -1x = 18 + -4x Solving 6 + -1x = 18 + -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 = 18 + -4x + 4x Combine like terms: -1x + 4x = 3x 6 + 3x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 3x = 18 + 0 6 + 3x = 18 Add '-6' to each side of the equation. 6 + -6 + 3x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 18 + -6 3x = 18 + -6 Combine like terms: 18 + -6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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