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Simplifying -5(2x + -5) + -1 = -3(3x + -10) Reorder the terms: -5(-5 + 2x) + -1 = -3(3x + -10) (-5 * -5 + 2x * -5) + -1 = -3(3x + -10) (25 + -10x) + -1 = -3(3x + -10) Reorder the terms: 25 + -1 + -10x = -3(3x + -10) Combine like terms: 25 + -1 = 24 24 + -10x = -3(3x + -10) Reorder the terms: 24 + -10x = -3(-10 + 3x) 24 + -10x = (-10 * -3 + 3x * -3) 24 + -10x = (30 + -9x) Solving 24 + -10x = 30 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 24 + -10x + 9x = 30 + -9x + 9x Combine like terms: -10x + 9x = -1x 24 + -1x = 30 + -9x + 9x Combine like terms: -9x + 9x = 0 24 + -1x = 30 + 0 24 + -1x = 30 Add '-24' to each side of the equation. 24 + -24 + -1x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 30 + -24 -1x = 30 + -24 Combine like terms: 30 + -24 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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