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Simplifying 6x + -1(7x + 3) = 5x + -45 Reorder the terms: 6x + -1(3 + 7x) = 5x + -45 6x + (3 * -1 + 7x * -1) = 5x + -45 6x + (-3 + -7x) = 5x + -45 Reorder the terms: -3 + 6x + -7x = 5x + -45 Combine like terms: 6x + -7x = -1x -3 + -1x = 5x + -45 Reorder the terms: -3 + -1x = -45 + 5x Solving -3 + -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. -3 + -1x + -5x = -45 + 5x + -5x Combine like terms: -1x + -5x = -6x -3 + -6x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -6x = -45 + 0 -3 + -6x = -45 Add '3' to each side of the equation. -3 + 3 + -6x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -45 + 3 -6x = -45 + 3 Combine like terms: -45 + 3 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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