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Simplifying 6x + -1(5x + 5) = 5x + -45 Reorder the terms: 6x + -1(5 + 5x) = 5x + -45 6x + (5 * -1 + 5x * -1) = 5x + -45 6x + (-5 + -5x) = 5x + -45 Reorder the terms: -5 + 6x + -5x = 5x + -45 Combine like terms: 6x + -5x = 1x -5 + 1x = 5x + -45 Reorder the terms: -5 + 1x = -45 + 5x Solving -5 + 1x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 1x + -5x = -45 + 5x + -5x Combine like terms: 1x + -5x = -4x -5 + -4x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -4x = -45 + 0 -5 + -4x = -45 Add '5' to each side of the equation. -5 + 5 + -4x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -45 + 5 -4x = -45 + 5 Combine like terms: -45 + 5 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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