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Simplifying 5x + -6 = 2x + -45 Reorder the terms: -6 + 5x = 2x + -45 Reorder the terms: -6 + 5x = -45 + 2x Solving -6 + 5x = -45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 5x + -2x = -45 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = -45 + 0 -6 + 3x = -45 Add '6' to each side of the equation. -6 + 6 + 3x = -45 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -45 + 6 3x = -45 + 6 Combine like terms: -45 + 6 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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