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Simplifying 2(2x + -21) = 360 + -2(x) Reorder the terms: 2(-21 + 2x) = 360 + -2(x) (-21 * 2 + 2x * 2) = 360 + -2(x) (-42 + 4x) = 360 + -2(x) Solving -42 + 4x = 360 + -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. -42 + 4x + 2x = 360 + -2x + 2x Combine like terms: 4x + 2x = 6x -42 + 6x = 360 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 6x = 360 + 0 -42 + 6x = 360 Add '42' to each side of the equation. -42 + 42 + 6x = 360 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 360 + 42 6x = 360 + 42 Combine like terms: 360 + 42 = 402 6x = 402 Divide each side by '6'. x = 67 Simplifying x = 67
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