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Simplifying 2(2x + -3) = 5(x + 4) Reorder the terms: 2(-3 + 2x) = 5(x + 4) (-3 * 2 + 2x * 2) = 5(x + 4) (-6 + 4x) = 5(x + 4) Reorder the terms: -6 + 4x = 5(4 + x) -6 + 4x = (4 * 5 + x * 5) -6 + 4x = (20 + 5x) Solving -6 + 4x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 4x + -5x = 20 + 5x + -5x Combine like terms: 4x + -5x = -1x -6 + -1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -1x = 20 + 0 -6 + -1x = 20 Add '6' to each side of the equation. -6 + 6 + -1x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 20 + 6 -1x = 20 + 6 Combine like terms: 20 + 6 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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