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Simplifying 10 + -3(4 + -1(10 + x)) = 7x + -1(x + -10) 10 + -3(4 + (10 * -1 + x * -1)) = 7x + -1(x + -10) 10 + -3(4 + (-10 + -1x)) = 7x + -1(x + -10) Combine like terms: 4 + -10 = -6 10 + -3(-6 + -1x) = 7x + -1(x + -10) 10 + (-6 * -3 + -1x * -3) = 7x + -1(x + -10) 10 + (18 + 3x) = 7x + -1(x + -10) Combine like terms: 10 + 18 = 28 28 + 3x = 7x + -1(x + -10) Reorder the terms: 28 + 3x = 7x + -1(-10 + x) 28 + 3x = 7x + (-10 * -1 + x * -1) 28 + 3x = 7x + (10 + -1x) Reorder the terms: 28 + 3x = 10 + 7x + -1x Combine like terms: 7x + -1x = 6x 28 + 3x = 10 + 6x Solving 28 + 3x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 3x + -6x = 10 + 6x + -6x Combine like terms: 3x + -6x = -3x 28 + -3x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -3x = 10 + 0 28 + -3x = 10 Add '-28' to each side of the equation. 28 + -28 + -3x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 10 + -28 -3x = 10 + -28 Combine like terms: 10 + -28 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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