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Simplifying 6(x + -0.4) = -2(x + 22) Reorder the terms: 6(-0.4 + x) = -2(x + 22) (-0.4 * 6 + x * 6) = -2(x + 22) (-2.4 + 6x) = -2(x + 22) Reorder the terms: -2.4 + 6x = -2(22 + x) -2.4 + 6x = (22 * -2 + x * -2) -2.4 + 6x = (-44 + -2x) Solving -2.4 + 6x = -44 + -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. -2.4 + 6x + 2x = -44 + -2x + 2x Combine like terms: 6x + 2x = 8x -2.4 + 8x = -44 + -2x + 2x Combine like terms: -2x + 2x = 0 -2.4 + 8x = -44 + 0 -2.4 + 8x = -44 Add '2.4' to each side of the equation. -2.4 + 2.4 + 8x = -44 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 8x = -44 + 2.4 8x = -44 + 2.4 Combine like terms: -44 + 2.4 = -41.6 8x = -41.6 Divide each side by '8'. x = -5.2 Simplifying x = -5.2
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