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Simplifying 5(x + -3) = 2(2x + 1) Reorder the terms: 5(-3 + x) = 2(2x + 1) (-3 * 5 + x * 5) = 2(2x + 1) (-15 + 5x) = 2(2x + 1) Reorder the terms: -15 + 5x = 2(1 + 2x) -15 + 5x = (1 * 2 + 2x * 2) -15 + 5x = (2 + 4x) Solving -15 + 5x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x -15 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 1x = 2 + 0 -15 + 1x = 2 Add '15' to each side of the equation. -15 + 15 + 1x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 2 + 15 1x = 2 + 15 Combine like terms: 2 + 15 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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