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Simplifying 2(5x + -3) = 2x + -22 Reorder the terms: 2(-3 + 5x) = 2x + -22 (-3 * 2 + 5x * 2) = 2x + -22 (-6 + 10x) = 2x + -22 Reorder the terms: -6 + 10x = -22 + 2x Solving -6 + 10x = -22 + 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. -6 + 10x + -2x = -22 + 2x + -2x Combine like terms: 10x + -2x = 8x -6 + 8x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 8x = -22 + 0 -6 + 8x = -22 Add '6' to each side of the equation. -6 + 6 + 8x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -22 + 6 8x = -22 + 6 Combine like terms: -22 + 6 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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