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Simplifying 6(-1x + -4) + -5 + -2x = 6x + -24 Reorder the terms: 6(-4 + -1x) + -5 + -2x = 6x + -24 (-4 * 6 + -1x * 6) + -5 + -2x = 6x + -24 (-24 + -6x) + -5 + -2x = 6x + -24 Reorder the terms: -24 + -5 + -6x + -2x = 6x + -24 Combine like terms: -24 + -5 = -29 -29 + -6x + -2x = 6x + -24 Combine like terms: -6x + -2x = -8x -29 + -8x = 6x + -24 Reorder the terms: -29 + -8x = -24 + 6x Solving -29 + -8x = -24 + 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. -29 + -8x + -6x = -24 + 6x + -6x Combine like terms: -8x + -6x = -14x -29 + -14x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -29 + -14x = -24 + 0 -29 + -14x = -24 Add '29' to each side of the equation. -29 + 29 + -14x = -24 + 29 Combine like terms: -29 + 29 = 0 0 + -14x = -24 + 29 -14x = -24 + 29 Combine like terms: -24 + 29 = 5 -14x = 5 Divide each side by '-14'. x = -0.3571428571 Simplifying x = -0.3571428571
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