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Simplifying 4(x + -1) = 6(-1 + 3x) Reorder the terms: 4(-1 + x) = 6(-1 + 3x) (-1 * 4 + x * 4) = 6(-1 + 3x) (-4 + 4x) = 6(-1 + 3x) -4 + 4x = (-1 * 6 + 3x * 6) -4 + 4x = (-6 + 18x) Solving -4 + 4x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + 4x + -18x = -6 + 18x + -18x Combine like terms: 4x + -18x = -14x -4 + -14x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + -14x = -6 + 0 -4 + -14x = -6 Add '4' to each side of the equation. -4 + 4 + -14x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = -6 + 4 -14x = -6 + 4 Combine like terms: -6 + 4 = -2 -14x = -2 Divide each side by '-14'. x = 0.1428571429 Simplifying x = 0.1428571429
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