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Simplifying 2x + 8 = 4x + -1(10 + -4x) Reorder the terms: 8 + 2x = 4x + -1(10 + -4x) 8 + 2x = 4x + (10 * -1 + -4x * -1) 8 + 2x = 4x + (-10 + 4x) Reorder the terms: 8 + 2x = -10 + 4x + 4x Combine like terms: 4x + 4x = 8x 8 + 2x = -10 + 8x Solving 8 + 2x = -10 + 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 + 2x + -8x = -10 + 8x + -8x Combine like terms: 2x + -8x = -6x 8 + -6x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -6x = -10 + 0 8 + -6x = -10 Add '-8' to each side of the equation. 8 + -8 + -6x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -10 + -8 -6x = -10 + -8 Combine like terms: -10 + -8 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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