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Simplifying 12 + -1(4 + -3x) = 21 + -1(12 + 7x) 12 + (4 * -1 + -3x * -1) = 21 + -1(12 + 7x) 12 + (-4 + 3x) = 21 + -1(12 + 7x) Combine like terms: 12 + -4 = 8 8 + 3x = 21 + -1(12 + 7x) 8 + 3x = 21 + (12 * -1 + 7x * -1) 8 + 3x = 21 + (-12 + -7x) Combine like terms: 21 + -12 = 9 8 + 3x = 9 + -7x Solving 8 + 3x = 9 + -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. 8 + 3x + 7x = 9 + -7x + 7x Combine like terms: 3x + 7x = 10x 8 + 10x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 10x = 9 + 0 8 + 10x = 9 Add '-8' to each side of the equation. 8 + -8 + 10x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 9 + -8 10x = 9 + -8 Combine like terms: 9 + -8 = 1 10x = 1 Divide each side by '10'. x = 0.1 Simplifying x = 0.1
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