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Simplifying 5(2x + -1) + -3(x + 5) = 3(x + -2) Reorder the terms: 5(-1 + 2x) + -3(x + 5) = 3(x + -2) (-1 * 5 + 2x * 5) + -3(x + 5) = 3(x + -2) (-5 + 10x) + -3(x + 5) = 3(x + -2) Reorder the terms: -5 + 10x + -3(5 + x) = 3(x + -2) -5 + 10x + (5 * -3 + x * -3) = 3(x + -2) -5 + 10x + (-15 + -3x) = 3(x + -2) Reorder the terms: -5 + -15 + 10x + -3x = 3(x + -2) Combine like terms: -5 + -15 = -20 -20 + 10x + -3x = 3(x + -2) Combine like terms: 10x + -3x = 7x -20 + 7x = 3(x + -2) Reorder the terms: -20 + 7x = 3(-2 + x) -20 + 7x = (-2 * 3 + x * 3) -20 + 7x = (-6 + 3x) Solving -20 + 7x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 7x + -3x = -6 + 3x + -3x Combine like terms: 7x + -3x = 4x -20 + 4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 4x = -6 + 0 -20 + 4x = -6 Add '20' to each side of the equation. -20 + 20 + 4x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -6 + 20 4x = -6 + 20 Combine like terms: -6 + 20 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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