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Simplifying 5x + 5(x + -3) = 2x + 1 Reorder the terms: 5x + 5(-3 + x) = 2x + 1 5x + (-3 * 5 + x * 5) = 2x + 1 5x + (-15 + 5x) = 2x + 1 Reorder the terms: -15 + 5x + 5x = 2x + 1 Combine like terms: 5x + 5x = 10x -15 + 10x = 2x + 1 Reorder the terms: -15 + 10x = 1 + 2x Solving -15 + 10x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 10x + -2x = 1 + 2x + -2x Combine like terms: 10x + -2x = 8x -15 + 8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 8x = 1 + 0 -15 + 8x = 1 Add '15' to each side of the equation. -15 + 15 + 8x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 1 + 15 8x = 1 + 15 Combine like terms: 1 + 15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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