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Simplifying 6 + -2(5x + -4) = 12 + -7x + 1 Reorder the terms: 6 + -2(-4 + 5x) = 12 + -7x + 1 6 + (-4 * -2 + 5x * -2) = 12 + -7x + 1 6 + (8 + -10x) = 12 + -7x + 1 Combine like terms: 6 + 8 = 14 14 + -10x = 12 + -7x + 1 Reorder the terms: 14 + -10x = 12 + 1 + -7x Combine like terms: 12 + 1 = 13 14 + -10x = 13 + -7x Solving 14 + -10x = 13 + -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. 14 + -10x + 7x = 13 + -7x + 7x Combine like terms: -10x + 7x = -3x 14 + -3x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + -3x = 13 + 0 14 + -3x = 13 Add '-14' to each side of the equation. 14 + -14 + -3x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 13 + -14 -3x = 13 + -14 Combine like terms: 13 + -14 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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