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Simplifying 3(x + -5) + -1x = 20 + -1(2x + 3) Reorder the terms: 3(-5 + x) + -1x = 20 + -1(2x + 3) (-5 * 3 + x * 3) + -1x = 20 + -1(2x + 3) (-15 + 3x) + -1x = 20 + -1(2x + 3) Combine like terms: 3x + -1x = 2x -15 + 2x = 20 + -1(2x + 3) Reorder the terms: -15 + 2x = 20 + -1(3 + 2x) -15 + 2x = 20 + (3 * -1 + 2x * -1) -15 + 2x = 20 + (-3 + -2x) Combine like terms: 20 + -3 = 17 -15 + 2x = 17 + -2x Solving -15 + 2x = 17 + -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 + 2x + 2x = 17 + -2x + 2x Combine like terms: 2x + 2x = 4x -15 + 4x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 4x = 17 + 0 -15 + 4x = 17 Add '15' to each side of the equation. -15 + 15 + 4x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 17 + 15 4x = 17 + 15 Combine like terms: 17 + 15 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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