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Simplifying 2(x + -4x + -22 + 10) = 2x + 24 Reorder the terms: 2(-22 + 10 + x + -4x) = 2x + 24 Combine like terms: -22 + 10 = -12 2(-12 + x + -4x) = 2x + 24 Combine like terms: x + -4x = -3x 2(-12 + -3x) = 2x + 24 (-12 * 2 + -3x * 2) = 2x + 24 (-24 + -6x) = 2x + 24 Reorder the terms: -24 + -6x = 24 + 2x Solving -24 + -6x = 24 + 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. -24 + -6x + -2x = 24 + 2x + -2x Combine like terms: -6x + -2x = -8x -24 + -8x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -8x = 24 + 0 -24 + -8x = 24 Add '24' to each side of the equation. -24 + 24 + -8x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 24 + 24 -8x = 24 + 24 Combine like terms: 24 + 24 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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