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Simplifying 11x + -3 = 10(x + -5) + -8 Reorder the terms: -3 + 11x = 10(x + -5) + -8 Reorder the terms: -3 + 11x = 10(-5 + x) + -8 -3 + 11x = (-5 * 10 + x * 10) + -8 -3 + 11x = (-50 + 10x) + -8 Reorder the terms: -3 + 11x = -50 + -8 + 10x Combine like terms: -50 + -8 = -58 -3 + 11x = -58 + 10x Solving -3 + 11x = -58 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 11x + -10x = -58 + 10x + -10x Combine like terms: 11x + -10x = 1x -3 + 1x = -58 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 1x = -58 + 0 -3 + 1x = -58 Add '3' to each side of the equation. -3 + 3 + 1x = -58 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -58 + 3 1x = -58 + 3 Combine like terms: -58 + 3 = -55 1x = -55 Divide each side by '1'. x = -55 Simplifying x = -55
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