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Simplifying 5(2x + -1) = 2(2x + -3) + 4x + -23 Reorder the terms: 5(-1 + 2x) = 2(2x + -3) + 4x + -23 (-1 * 5 + 2x * 5) = 2(2x + -3) + 4x + -23 (-5 + 10x) = 2(2x + -3) + 4x + -23 Reorder the terms: -5 + 10x = 2(-3 + 2x) + 4x + -23 -5 + 10x = (-3 * 2 + 2x * 2) + 4x + -23 -5 + 10x = (-6 + 4x) + 4x + -23 Reorder the terms: -5 + 10x = -6 + -23 + 4x + 4x Combine like terms: -6 + -23 = -29 -5 + 10x = -29 + 4x + 4x Combine like terms: 4x + 4x = 8x -5 + 10x = -29 + 8x Solving -5 + 10x = -29 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 10x + -8x = -29 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = -29 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = -29 + 0 -5 + 2x = -29 Add '5' to each side of the equation. -5 + 5 + 2x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -29 + 5 2x = -29 + 5 Combine like terms: -29 + 5 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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