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Simplifying 6(x + -1) = 4(2x + 1) + -14x + 9 Reorder the terms: 6(-1 + x) = 4(2x + 1) + -14x + 9 (-1 * 6 + x * 6) = 4(2x + 1) + -14x + 9 (-6 + 6x) = 4(2x + 1) + -14x + 9 Reorder the terms: -6 + 6x = 4(1 + 2x) + -14x + 9 -6 + 6x = (1 * 4 + 2x * 4) + -14x + 9 -6 + 6x = (4 + 8x) + -14x + 9 Reorder the terms: -6 + 6x = 4 + 9 + 8x + -14x Combine like terms: 4 + 9 = 13 -6 + 6x = 13 + 8x + -14x Combine like terms: 8x + -14x = -6x -6 + 6x = 13 + -6x Solving -6 + 6x = 13 + -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. -6 + 6x + 6x = 13 + -6x + 6x Combine like terms: 6x + 6x = 12x -6 + 12x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 12x = 13 + 0 -6 + 12x = 13 Add '6' to each side of the equation. -6 + 6 + 12x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 13 + 6 12x = 13 + 6 Combine like terms: 13 + 6 = 19 12x = 19 Divide each side by '12'. x = 1.583333333 Simplifying x = 1.583333333
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