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Simplifying 5(2x + -3) = 2(x + 7) + 11 Reorder the terms: 5(-3 + 2x) = 2(x + 7) + 11 (-3 * 5 + 2x * 5) = 2(x + 7) + 11 (-15 + 10x) = 2(x + 7) + 11 Reorder the terms: -15 + 10x = 2(7 + x) + 11 -15 + 10x = (7 * 2 + x * 2) + 11 -15 + 10x = (14 + 2x) + 11 Reorder the terms: -15 + 10x = 14 + 11 + 2x Combine like terms: 14 + 11 = 25 -15 + 10x = 25 + 2x Solving -15 + 10x = 25 + 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 = 25 + 2x + -2x Combine like terms: 10x + -2x = 8x -15 + 8x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 8x = 25 + 0 -15 + 8x = 25 Add '15' to each side of the equation. -15 + 15 + 8x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 25 + 15 8x = 25 + 15 Combine like terms: 25 + 15 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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