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Simplifying 6 + -2(5x + -8) = -2(2x + 1) Reorder the terms: 6 + -2(-8 + 5x) = -2(2x + 1) 6 + (-8 * -2 + 5x * -2) = -2(2x + 1) 6 + (16 + -10x) = -2(2x + 1) Combine like terms: 6 + 16 = 22 22 + -10x = -2(2x + 1) Reorder the terms: 22 + -10x = -2(1 + 2x) 22 + -10x = (1 * -2 + 2x * -2) 22 + -10x = (-2 + -4x) Solving 22 + -10x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 22 + -10x + 4x = -2 + -4x + 4x Combine like terms: -10x + 4x = -6x 22 + -6x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + -6x = -2 + 0 22 + -6x = -2 Add '-22' to each side of the equation. 22 + -22 + -6x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = -2 + -22 -6x = -2 + -22 Combine like terms: -2 + -22 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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