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Simplifying 5(x + -3) + -9 = 2(2x + 1) Reorder the terms: 5(-3 + x) + -9 = 2(2x + 1) (-3 * 5 + x * 5) + -9 = 2(2x + 1) (-15 + 5x) + -9 = 2(2x + 1) Reorder the terms: -15 + -9 + 5x = 2(2x + 1) Combine like terms: -15 + -9 = -24 -24 + 5x = 2(2x + 1) Reorder the terms: -24 + 5x = 2(1 + 2x) -24 + 5x = (1 * 2 + 2x * 2) -24 + 5x = (2 + 4x) Solving -24 + 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. -24 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x -24 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 1x = 2 + 0 -24 + 1x = 2 Add '24' to each side of the equation. -24 + 24 + 1x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 2 + 24 1x = 2 + 24 Combine like terms: 2 + 24 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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