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Simplifying 4x + -2 = 8x + -1(6x + -10) Reorder the terms: -2 + 4x = 8x + -1(6x + -10) Reorder the terms: -2 + 4x = 8x + -1(-10 + 6x) -2 + 4x = 8x + (-10 * -1 + 6x * -1) -2 + 4x = 8x + (10 + -6x) Reorder the terms: -2 + 4x = 10 + 8x + -6x Combine like terms: 8x + -6x = 2x -2 + 4x = 10 + 2x Solving -2 + 4x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = 10 + 0 -2 + 2x = 10 Add '2' to each side of the equation. -2 + 2 + 2x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 10 + 2 2x = 10 + 2 Combine like terms: 10 + 2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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