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Simplifying 2(2x + -9) + -4 = 2(x + -3) + -6 Reorder the terms: 2(-9 + 2x) + -4 = 2(x + -3) + -6 (-9 * 2 + 2x * 2) + -4 = 2(x + -3) + -6 (-18 + 4x) + -4 = 2(x + -3) + -6 Reorder the terms: -18 + -4 + 4x = 2(x + -3) + -6 Combine like terms: -18 + -4 = -22 -22 + 4x = 2(x + -3) + -6 Reorder the terms: -22 + 4x = 2(-3 + x) + -6 -22 + 4x = (-3 * 2 + x * 2) + -6 -22 + 4x = (-6 + 2x) + -6 Reorder the terms: -22 + 4x = -6 + -6 + 2x Combine like terms: -6 + -6 = -12 -22 + 4x = -12 + 2x Solving -22 + 4x = -12 + 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. -22 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x -22 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 2x = -12 + 0 -22 + 2x = -12 Add '22' to each side of the equation. -22 + 22 + 2x = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -12 + 22 2x = -12 + 22 Combine like terms: -12 + 22 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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