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Simplifying -45 = 6x + -7(x + 5) Reorder the terms: -45 = 6x + -7(5 + x) -45 = 6x + (5 * -7 + x * -7) -45 = 6x + (-35 + -7x) Reorder the terms: -45 = -35 + 6x + -7x Combine like terms: 6x + -7x = -1x -45 = -35 + -1x Solving -45 = -35 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + x = -35 + -1x + x Combine like terms: -1x + x = 0 -45 + x = -35 + 0 -45 + x = -35 Add '45' to each side of the equation. -45 + 45 + x = -35 + 45 Combine like terms: -45 + 45 = 0 0 + x = -35 + 45 x = -35 + 45 Combine like terms: -35 + 45 = 10 x = 10 Simplifying x = 10
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