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Simplifying 10 + 3(x + -5) = 20 + -2(x + -1) Reorder the terms: 10 + 3(-5 + x) = 20 + -2(x + -1) 10 + (-5 * 3 + x * 3) = 20 + -2(x + -1) 10 + (-15 + 3x) = 20 + -2(x + -1) Combine like terms: 10 + -15 = -5 -5 + 3x = 20 + -2(x + -1) Reorder the terms: -5 + 3x = 20 + -2(-1 + x) -5 + 3x = 20 + (-1 * -2 + x * -2) -5 + 3x = 20 + (2 + -2x) Combine like terms: 20 + 2 = 22 -5 + 3x = 22 + -2x Solving -5 + 3x = 22 + -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. -5 + 3x + 2x = 22 + -2x + 2x Combine like terms: 3x + 2x = 5x -5 + 5x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 5x = 22 + 0 -5 + 5x = 22 Add '5' to each side of the equation. -5 + 5 + 5x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 22 + 5 5x = 22 + 5 Combine like terms: 22 + 5 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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