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Simplifying 6(-5x + -8) = -6(6x + -7) Reorder the terms: 6(-8 + -5x) = -6(6x + -7) (-8 * 6 + -5x * 6) = -6(6x + -7) (-48 + -30x) = -6(6x + -7) Reorder the terms: -48 + -30x = -6(-7 + 6x) -48 + -30x = (-7 * -6 + 6x * -6) -48 + -30x = (42 + -36x) Solving -48 + -30x = 42 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -48 + -30x + 36x = 42 + -36x + 36x Combine like terms: -30x + 36x = 6x -48 + 6x = 42 + -36x + 36x Combine like terms: -36x + 36x = 0 -48 + 6x = 42 + 0 -48 + 6x = 42 Add '48' to each side of the equation. -48 + 48 + 6x = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 42 + 48 6x = 42 + 48 Combine like terms: 42 + 48 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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