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Simplifying 22(3x + -6) = 3(2x + -4) Reorder the terms: 22(-6 + 3x) = 3(2x + -4) (-6 * 22 + 3x * 22) = 3(2x + -4) (-132 + 66x) = 3(2x + -4) Reorder the terms: -132 + 66x = 3(-4 + 2x) -132 + 66x = (-4 * 3 + 2x * 3) -132 + 66x = (-12 + 6x) Solving -132 + 66x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -132 + 66x + -6x = -12 + 6x + -6x Combine like terms: 66x + -6x = 60x -132 + 60x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -132 + 60x = -12 + 0 -132 + 60x = -12 Add '132' to each side of the equation. -132 + 132 + 60x = -12 + 132 Combine like terms: -132 + 132 = 0 0 + 60x = -12 + 132 60x = -12 + 132 Combine like terms: -12 + 132 = 120 60x = 120 Divide each side by '60'. x = 2 Simplifying x = 2
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