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Simplifying 2(3x + -5) = 5 + -1(2x + 1) Reorder the terms: 2(-5 + 3x) = 5 + -1(2x + 1) (-5 * 2 + 3x * 2) = 5 + -1(2x + 1) (-10 + 6x) = 5 + -1(2x + 1) Reorder the terms: -10 + 6x = 5 + -1(1 + 2x) -10 + 6x = 5 + (1 * -1 + 2x * -1) -10 + 6x = 5 + (-1 + -2x) Combine like terms: 5 + -1 = 4 -10 + 6x = 4 + -2x Solving -10 + 6x = 4 + -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 + 6x + 2x = 4 + -2x + 2x Combine like terms: 6x + 2x = 8x -10 + 8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 8x = 4 + 0 -10 + 8x = 4 Add '10' to each side of the equation. -10 + 10 + 8x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 4 + 10 8x = 4 + 10 Combine like terms: 4 + 10 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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