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