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Simplifying 2.5(6x + -10) + -1(-5 + 6x) = -65 Reorder the terms: 2.5(-10 + 6x) + -1(-5 + 6x) = -65 (-10 * 2.5 + 6x * 2.5) + -1(-5 + 6x) = -65 (-25 + 15x) + -1(-5 + 6x) = -65 -25 + 15x + (-5 * -1 + 6x * -1) = -65 -25 + 15x + (5 + -6x) = -65 Reorder the terms: -25 + 5 + 15x + -6x = -65 Combine like terms: -25 + 5 = -20 -20 + 15x + -6x = -65 Combine like terms: 15x + -6x = 9x -20 + 9x = -65 Solving -20 + 9x = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 9x = -65 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = -65 + 20 9x = -65 + 20 Combine like terms: -65 + 20 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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