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Simplifying -7x + 13 = -15x + -27 Reorder the terms: 13 + -7x = -15x + -27 Reorder the terms: 13 + -7x = -27 + -15x Solving 13 + -7x = -27 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 13 + -7x + 15x = -27 + -15x + 15x Combine like terms: -7x + 15x = 8x 13 + 8x = -27 + -15x + 15x Combine like terms: -15x + 15x = 0 13 + 8x = -27 + 0 13 + 8x = -27 Add '-13' to each side of the equation. 13 + -13 + 8x = -27 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = -27 + -13 8x = -27 + -13 Combine like terms: -27 + -13 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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