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Simplifying 7(x + -2) = 6(4 + -1x) + 6 Reorder the terms: 7(-2 + x) = 6(4 + -1x) + 6 (-2 * 7 + x * 7) = 6(4 + -1x) + 6 (-14 + 7x) = 6(4 + -1x) + 6 -14 + 7x = (4 * 6 + -1x * 6) + 6 -14 + 7x = (24 + -6x) + 6 Reorder the terms: -14 + 7x = 24 + 6 + -6x Combine like terms: 24 + 6 = 30 -14 + 7x = 30 + -6x Solving -14 + 7x = 30 + -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. -14 + 7x + 6x = 30 + -6x + 6x Combine like terms: 7x + 6x = 13x -14 + 13x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 13x = 30 + 0 -14 + 13x = 30 Add '14' to each side of the equation. -14 + 14 + 13x = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 13x = 30 + 14 13x = 30 + 14 Combine like terms: 30 + 14 = 44 13x = 44 Divide each side by '13'. x = 3.384615385 Simplifying x = 3.384615385
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