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Simplifying 3(x + -4) = -2(2x + -22) Reorder the terms: 3(-4 + x) = -2(2x + -22) (-4 * 3 + x * 3) = -2(2x + -22) (-12 + 3x) = -2(2x + -22) Reorder the terms: -12 + 3x = -2(-22 + 2x) -12 + 3x = (-22 * -2 + 2x * -2) -12 + 3x = (44 + -4x) Solving -12 + 3x = 44 + -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. -12 + 3x + 4x = 44 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 44 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 44 + 0 -12 + 7x = 44 Add '12' to each side of the equation. -12 + 12 + 7x = 44 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 44 + 12 7x = 44 + 12 Combine like terms: 44 + 12 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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