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Simplifying 7x + 6(2x + -2) = 1 + -3x Reorder the terms: 7x + 6(-2 + 2x) = 1 + -3x 7x + (-2 * 6 + 2x * 6) = 1 + -3x 7x + (-12 + 12x) = 1 + -3x Reorder the terms: -12 + 7x + 12x = 1 + -3x Combine like terms: 7x + 12x = 19x -12 + 19x = 1 + -3x Solving -12 + 19x = 1 + -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. -12 + 19x + 3x = 1 + -3x + 3x Combine like terms: 19x + 3x = 22x -12 + 22x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 22x = 1 + 0 -12 + 22x = 1 Add '12' to each side of the equation. -12 + 12 + 22x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 22x = 1 + 12 22x = 1 + 12 Combine like terms: 1 + 12 = 13 22x = 13 Divide each side by '22'. x = 0.5909090909 Simplifying x = 0.5909090909
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