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Simplifying -45 = -7x + 5(2x + -12) Reorder the terms: -45 = -7x + 5(-12 + 2x) -45 = -7x + (-12 * 5 + 2x * 5) -45 = -7x + (-60 + 10x) Reorder the terms: -45 = -60 + -7x + 10x Combine like terms: -7x + 10x = 3x -45 = -60 + 3x Solving -45 = -60 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + -3x = -60 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + -3x = -60 + 0 -45 + -3x = -60 Add '45' to each side of the equation. -45 + 45 + -3x = -60 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -60 + 45 -3x = -60 + 45 Combine like terms: -60 + 45 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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