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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 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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