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Simplifying 6(x + -1) = 14(x + -1) Reorder the terms: 6(-1 + x) = 14(x + -1) (-1 * 6 + x * 6) = 14(x + -1) (-6 + 6x) = 14(x + -1) Reorder the terms: -6 + 6x = 14(-1 + x) -6 + 6x = (-1 * 14 + x * 14) -6 + 6x = (-14 + 14x) Solving -6 + 6x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 6x + -14x = -14 + 14x + -14x Combine like terms: 6x + -14x = -8x -6 + -8x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -8x = -14 + 0 -6 + -8x = -14 Add '6' to each side of the equation. -6 + 6 + -8x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -14 + 6 -8x = -14 + 6 Combine like terms: -14 + 6 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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