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Simplifying -5(2 + -2x) = 2(x + -3) + 4 (2 * -5 + -2x * -5) = 2(x + -3) + 4 (-10 + 10x) = 2(x + -3) + 4 Reorder the terms: -10 + 10x = 2(-3 + x) + 4 -10 + 10x = (-3 * 2 + x * 2) + 4 -10 + 10x = (-6 + 2x) + 4 Reorder the terms: -10 + 10x = -6 + 4 + 2x Combine like terms: -6 + 4 = -2 -10 + 10x = -2 + 2x Solving -10 + 10x = -2 + 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. -10 + 10x + -2x = -2 + 2x + -2x Combine like terms: 10x + -2x = 8x -10 + 8x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 8x = -2 + 0 -10 + 8x = -2 Add '10' to each side of the equation. -10 + 10 + 8x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = -2 + 10 8x = -2 + 10 Combine like terms: -2 + 10 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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