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Simplifying 10x + -2x + 15 = -3x + -40 Reorder the terms: 15 + 10x + -2x = -3x + -40 Combine like terms: 10x + -2x = 8x 15 + 8x = -3x + -40 Reorder the terms: 15 + 8x = -40 + -3x Solving 15 + 8x = -40 + -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. 15 + 8x + 3x = -40 + -3x + 3x Combine like terms: 8x + 3x = 11x 15 + 11x = -40 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 11x = -40 + 0 15 + 11x = -40 Add '-15' to each side of the equation. 15 + -15 + 11x = -40 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = -40 + -15 11x = -40 + -15 Combine like terms: -40 + -15 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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