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Simplifying 6x + 4x + -2 = 2(5 + -3x) + 10 Reorder the terms: -2 + 6x + 4x = 2(5 + -3x) + 10 Combine like terms: 6x + 4x = 10x -2 + 10x = 2(5 + -3x) + 10 -2 + 10x = (5 * 2 + -3x * 2) + 10 -2 + 10x = (10 + -6x) + 10 Reorder the terms: -2 + 10x = 10 + 10 + -6x Combine like terms: 10 + 10 = 20 -2 + 10x = 20 + -6x Solving -2 + 10x = 20 + -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. -2 + 10x + 6x = 20 + -6x + 6x Combine like terms: 10x + 6x = 16x -2 + 16x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 16x = 20 + 0 -2 + 16x = 20 Add '2' to each side of the equation. -2 + 2 + 16x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 20 + 2 16x = 20 + 2 Combine like terms: 20 + 2 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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