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Simplifying 6 + -1(4 + x) = 10(2 + -1x) + 7x 6 + (4 * -1 + x * -1) = 10(2 + -1x) + 7x 6 + (-4 + -1x) = 10(2 + -1x) + 7x Combine like terms: 6 + -4 = 2 2 + -1x = 10(2 + -1x) + 7x 2 + -1x = (2 * 10 + -1x * 10) + 7x 2 + -1x = (20 + -10x) + 7x Combine like terms: -10x + 7x = -3x 2 + -1x = 20 + -3x Solving 2 + -1x = 20 + -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. 2 + -1x + 3x = 20 + -3x + 3x Combine like terms: -1x + 3x = 2x 2 + 2x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 2x = 20 + 0 2 + 2x = 20 Add '-2' to each side of the equation. 2 + -2 + 2x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 20 + -2 2x = 20 + -2 Combine like terms: 20 + -2 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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