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Simplifying 2(x + -22) = 52 + -4(x + -3) Reorder the terms: 2(-22 + x) = 52 + -4(x + -3) (-22 * 2 + x * 2) = 52 + -4(x + -3) (-44 + 2x) = 52 + -4(x + -3) Reorder the terms: -44 + 2x = 52 + -4(-3 + x) -44 + 2x = 52 + (-3 * -4 + x * -4) -44 + 2x = 52 + (12 + -4x) Combine like terms: 52 + 12 = 64 -44 + 2x = 64 + -4x Solving -44 + 2x = 64 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -44 + 2x + 4x = 64 + -4x + 4x Combine like terms: 2x + 4x = 6x -44 + 6x = 64 + -4x + 4x Combine like terms: -4x + 4x = 0 -44 + 6x = 64 + 0 -44 + 6x = 64 Add '44' to each side of the equation. -44 + 44 + 6x = 64 + 44 Combine like terms: -44 + 44 = 0 0 + 6x = 64 + 44 6x = 64 + 44 Combine like terms: 64 + 44 = 108 6x = 108 Divide each side by '6'. x = 18 Simplifying x = 18
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