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Simplifying 11x + 7 = 10(x + -10) + 2 Reorder the terms: 7 + 11x = 10(x + -10) + 2 Reorder the terms: 7 + 11x = 10(-10 + x) + 2 7 + 11x = (-10 * 10 + x * 10) + 2 7 + 11x = (-100 + 10x) + 2 Reorder the terms: 7 + 11x = -100 + 2 + 10x Combine like terms: -100 + 2 = -98 7 + 11x = -98 + 10x Solving 7 + 11x = -98 + 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. 7 + 11x + -10x = -98 + 10x + -10x Combine like terms: 11x + -10x = 1x 7 + 1x = -98 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 1x = -98 + 0 7 + 1x = -98 Add '-7' to each side of the equation. 7 + -7 + 1x = -98 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -98 + -7 1x = -98 + -7 Combine like terms: -98 + -7 = -105 1x = -105 Divide each side by '1'. x = -105 Simplifying x = -105
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