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Simplifying 2(x + -2) + -20 = 21 + -7x Reorder the terms: 2(-2 + x) + -20 = 21 + -7x (-2 * 2 + x * 2) + -20 = 21 + -7x (-4 + 2x) + -20 = 21 + -7x Reorder the terms: -4 + -20 + 2x = 21 + -7x Combine like terms: -4 + -20 = -24 -24 + 2x = 21 + -7x Solving -24 + 2x = 21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -24 + 2x + 7x = 21 + -7x + 7x Combine like terms: 2x + 7x = 9x -24 + 9x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 9x = 21 + 0 -24 + 9x = 21 Add '24' to each side of the equation. -24 + 24 + 9x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 21 + 24 9x = 21 + 24 Combine like terms: 21 + 24 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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