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Simplifying 5(x + -2) + 3x = 2(3x + 4) Reorder the terms: 5(-2 + x) + 3x = 2(3x + 4) (-2 * 5 + x * 5) + 3x = 2(3x + 4) (-10 + 5x) + 3x = 2(3x + 4) Combine like terms: 5x + 3x = 8x -10 + 8x = 2(3x + 4) Reorder the terms: -10 + 8x = 2(4 + 3x) -10 + 8x = (4 * 2 + 3x * 2) -10 + 8x = (8 + 6x) Solving -10 + 8x = 8 + 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. -10 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -10 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 2x = 8 + 0 -10 + 2x = 8 Add '10' to each side of the equation. -10 + 10 + 2x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 8 + 10 2x = 8 + 10 Combine like terms: 8 + 10 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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