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Simplifying 6(-4 + -5x) = 5 + -7(-13x + -4) (-4 * 6 + -5x * 6) = 5 + -7(-13x + -4) (-24 + -30x) = 5 + -7(-13x + -4) Reorder the terms: -24 + -30x = 5 + -7(-4 + -13x) -24 + -30x = 5 + (-4 * -7 + -13x * -7) -24 + -30x = 5 + (28 + 91x) Combine like terms: 5 + 28 = 33 -24 + -30x = 33 + 91x Solving -24 + -30x = 33 + 91x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91x' to each side of the equation. -24 + -30x + -91x = 33 + 91x + -91x Combine like terms: -30x + -91x = -121x -24 + -121x = 33 + 91x + -91x Combine like terms: 91x + -91x = 0 -24 + -121x = 33 + 0 -24 + -121x = 33 Add '24' to each side of the equation. -24 + 24 + -121x = 33 + 24 Combine like terms: -24 + 24 = 0 0 + -121x = 33 + 24 -121x = 33 + 24 Combine like terms: 33 + 24 = 57 -121x = 57 Divide each side by '-121'. x = -0.4710743802 Simplifying x = -0.4710743802
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