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Simplifying 5(2x + -3) + 4 = -2(x + -5) Reorder the terms: 5(-3 + 2x) + 4 = -2(x + -5) (-3 * 5 + 2x * 5) + 4 = -2(x + -5) (-15 + 10x) + 4 = -2(x + -5) Reorder the terms: -15 + 4 + 10x = -2(x + -5) Combine like terms: -15 + 4 = -11 -11 + 10x = -2(x + -5) Reorder the terms: -11 + 10x = -2(-5 + x) -11 + 10x = (-5 * -2 + x * -2) -11 + 10x = (10 + -2x) Solving -11 + 10x = 10 + -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. -11 + 10x + 2x = 10 + -2x + 2x Combine like terms: 10x + 2x = 12x -11 + 12x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 12x = 10 + 0 -11 + 12x = 10 Add '11' to each side of the equation. -11 + 11 + 12x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 10 + 11 12x = 10 + 11 Combine like terms: 10 + 11 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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