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Simplifying 2(3x + -5) = 4 + -1(2x + -5) Reorder the terms: 2(-5 + 3x) = 4 + -1(2x + -5) (-5 * 2 + 3x * 2) = 4 + -1(2x + -5) (-10 + 6x) = 4 + -1(2x + -5) Reorder the terms: -10 + 6x = 4 + -1(-5 + 2x) -10 + 6x = 4 + (-5 * -1 + 2x * -1) -10 + 6x = 4 + (5 + -2x) Combine like terms: 4 + 5 = 9 -10 + 6x = 9 + -2x Solving -10 + 6x = 9 + -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 = 9 + -2x + 2x Combine like terms: 6x + 2x = 8x -10 + 8x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 8x = 9 + 0 -10 + 8x = 9 Add '10' to each side of the equation. -10 + 10 + 8x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 9 + 10 8x = 9 + 10 Combine like terms: 9 + 10 = 19 8x = 19 Divide each side by '8'. x = 2.375 Simplifying x = 2.375
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