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Simplifying -6x + -15 = 7x + 24 Reorder the terms: -15 + -6x = 7x + 24 Reorder the terms: -15 + -6x = 24 + 7x Solving -15 + -6x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + -6x + -7x = 24 + 7x + -7x Combine like terms: -6x + -7x = -13x -15 + -13x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -13x = 24 + 0 -15 + -13x = 24 Add '15' to each side of the equation. -15 + 15 + -13x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = 24 + 15 -13x = 24 + 15 Combine like terms: 24 + 15 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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