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Simplifying 2(2x + -1) = 5(x + 3) Reorder the terms: 2(-1 + 2x) = 5(x + 3) (-1 * 2 + 2x * 2) = 5(x + 3) (-2 + 4x) = 5(x + 3) Reorder the terms: -2 + 4x = 5(3 + x) -2 + 4x = (3 * 5 + x * 5) -2 + 4x = (15 + 5x) Solving -2 + 4x = 15 + 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. -2 + 4x + -5x = 15 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x = 15 + 0 -2 + -1x = 15 Add '2' to each side of the equation. -2 + 2 + -1x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 15 + 2 -1x = 15 + 2 Combine like terms: 15 + 2 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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