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Simplifying 3(x + -5) + 5 = X + 3 + 2x + 7 Reorder the terms: 3(-5 + x) + 5 = X + 3 + 2x + 7 (-5 * 3 + x * 3) + 5 = X + 3 + 2x + 7 (-15 + 3x) + 5 = X + 3 + 2x + 7 Reorder the terms: -15 + 5 + 3x = X + 3 + 2x + 7 Combine like terms: -15 + 5 = -10 -10 + 3x = X + 3 + 2x + 7 Reorder the terms: -10 + 3x = 3 + 7 + X + 2x Combine like terms: 3 + 7 = 10 -10 + 3x = 10 + X + 2x Solving -10 + 3x = 10 + X + 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. -10 + 3x + -2x = 10 + X + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = 10 + X + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = 10 + X + 0 -10 + 1x = 10 + X Add '10' to each side of the equation. -10 + 10 + 1x = 10 + 10 + X Combine like terms: -10 + 10 = 0 0 + 1x = 10 + 10 + X 1x = 10 + 10 + X Combine like terms: 10 + 10 = 20 1x = 20 + X Divide each side by '1'. x = 20 + X Simplifying x = 20 + X
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