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Simplifying -2 + -10(1x + -10) = 7x + 30 Reorder the terms: -2 + -10(-10 + 1x) = 7x + 30 -2 + (-10 * -10 + 1x * -10) = 7x + 30 -2 + (100 + -10x) = 7x + 30 Combine like terms: -2 + 100 = 98 98 + -10x = 7x + 30 Reorder the terms: 98 + -10x = 30 + 7x Solving 98 + -10x = 30 + 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. 98 + -10x + -7x = 30 + 7x + -7x Combine like terms: -10x + -7x = -17x 98 + -17x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 98 + -17x = 30 + 0 98 + -17x = 30 Add '-98' to each side of the equation. 98 + -98 + -17x = 30 + -98 Combine like terms: 98 + -98 = 0 0 + -17x = 30 + -98 -17x = 30 + -98 Combine like terms: 30 + -98 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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