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Simplifying 5 + 3(x + -5) = 1 + -2(x + -3) Reorder the terms: 5 + 3(-5 + x) = 1 + -2(x + -3) 5 + (-5 * 3 + x * 3) = 1 + -2(x + -3) 5 + (-15 + 3x) = 1 + -2(x + -3) Combine like terms: 5 + -15 = -10 -10 + 3x = 1 + -2(x + -3) Reorder the terms: -10 + 3x = 1 + -2(-3 + x) -10 + 3x = 1 + (-3 * -2 + x * -2) -10 + 3x = 1 + (6 + -2x) Combine like terms: 1 + 6 = 7 -10 + 3x = 7 + -2x Solving -10 + 3x = 7 + -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 = 7 + -2x + 2x Combine like terms: 3x + 2x = 5x -10 + 5x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 5x = 7 + 0 -10 + 5x = 7 Add '10' to each side of the equation. -10 + 10 + 5x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 7 + 10 5x = 7 + 10 Combine like terms: 7 + 10 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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