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Simplifying 2(x + 3) = 5(2 + -1x) + 4x Reorder the terms: 2(3 + x) = 5(2 + -1x) + 4x (3 * 2 + x * 2) = 5(2 + -1x) + 4x (6 + 2x) = 5(2 + -1x) + 4x 6 + 2x = (2 * 5 + -1x * 5) + 4x 6 + 2x = (10 + -5x) + 4x Combine like terms: -5x + 4x = -1x 6 + 2x = 10 + -1x Solving 6 + 2x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 2x + x = 10 + -1x + x Combine like terms: 2x + x = 3x 6 + 3x = 10 + -1x + x Combine like terms: -1x + x = 0 6 + 3x = 10 + 0 6 + 3x = 10 Add '-6' to each side of the equation. 6 + -6 + 3x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 10 + -6 3x = 10 + -6 Combine like terms: 10 + -6 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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