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