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Simplifying 2(-2x + -1) + 2(2x + -2) + -3(-2x + 5) = 0 Reorder the terms: 2(-1 + -2x) + 2(2x + -2) + -3(-2x + 5) = 0 (-1 * 2 + -2x * 2) + 2(2x + -2) + -3(-2x + 5) = 0 (-2 + -4x) + 2(2x + -2) + -3(-2x + 5) = 0 Reorder the terms: -2 + -4x + 2(-2 + 2x) + -3(-2x + 5) = 0 -2 + -4x + (-2 * 2 + 2x * 2) + -3(-2x + 5) = 0 -2 + -4x + (-4 + 4x) + -3(-2x + 5) = 0 Reorder the terms: -2 + -4x + -4 + 4x + -3(5 + -2x) = 0 -2 + -4x + -4 + 4x + (5 * -3 + -2x * -3) = 0 -2 + -4x + -4 + 4x + (-15 + 6x) = 0 Reorder the terms: -2 + -4 + -15 + -4x + 4x + 6x = 0 Combine like terms: -2 + -4 = -6 -6 + -15 + -4x + 4x + 6x = 0 Combine like terms: -6 + -15 = -21 -21 + -4x + 4x + 6x = 0 Combine like terms: -4x + 4x = 0 -21 + 0 + 6x = 0 -21 + 6x = 0 Solving -21 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 6x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 0 + 21 6x = 0 + 21 Combine like terms: 0 + 21 = 21 6x = 21 Divide each side by '6'. x = 3.5 Simplifying x = 3.5
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