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Simplifying 6(x + -1) + 4 = 2(7x + 1) Reorder the terms: 6(-1 + x) + 4 = 2(7x + 1) (-1 * 6 + x * 6) + 4 = 2(7x + 1) (-6 + 6x) + 4 = 2(7x + 1) Reorder the terms: -6 + 4 + 6x = 2(7x + 1) Combine like terms: -6 + 4 = -2 -2 + 6x = 2(7x + 1) Reorder the terms: -2 + 6x = 2(1 + 7x) -2 + 6x = (1 * 2 + 7x * 2) -2 + 6x = (2 + 14x) Solving -2 + 6x = 2 + 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. -2 + 6x + -14x = 2 + 14x + -14x Combine like terms: 6x + -14x = -8x -2 + -8x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -8x = 2 + 0 -2 + -8x = 2 Add '2' to each side of the equation. -2 + 2 + -8x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 2 + 2 -8x = 2 + 2 Combine like terms: 2 + 2 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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