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Simplifying 2(2x + -9) + -4 = 2(x + -5) + -6 Reorder the terms: 2(-9 + 2x) + -4 = 2(x + -5) + -6 (-9 * 2 + 2x * 2) + -4 = 2(x + -5) + -6 (-18 + 4x) + -4 = 2(x + -5) + -6 Reorder the terms: -18 + -4 + 4x = 2(x + -5) + -6 Combine like terms: -18 + -4 = -22 -22 + 4x = 2(x + -5) + -6 Reorder the terms: -22 + 4x = 2(-5 + x) + -6 -22 + 4x = (-5 * 2 + x * 2) + -6 -22 + 4x = (-10 + 2x) + -6 Reorder the terms: -22 + 4x = -10 + -6 + 2x Combine like terms: -10 + -6 = -16 -22 + 4x = -16 + 2x Solving -22 + 4x = -16 + 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 = -16 + 2x + -2x Combine like terms: 4x + -2x = 2x -22 + 2x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 2x = -16 + 0 -22 + 2x = -16 Add '22' to each side of the equation. -22 + 22 + 2x = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -16 + 22 2x = -16 + 22 Combine like terms: -16 + 22 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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