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Simplifying 3(2x + -8) + -5(15x + -6) = 9(4x + -11) Reorder the terms: 3(-8 + 2x) + -5(15x + -6) = 9(4x + -11) (-8 * 3 + 2x * 3) + -5(15x + -6) = 9(4x + -11) (-24 + 6x) + -5(15x + -6) = 9(4x + -11) Reorder the terms: -24 + 6x + -5(-6 + 15x) = 9(4x + -11) -24 + 6x + (-6 * -5 + 15x * -5) = 9(4x + -11) -24 + 6x + (30 + -75x) = 9(4x + -11) Reorder the terms: -24 + 30 + 6x + -75x = 9(4x + -11) Combine like terms: -24 + 30 = 6 6 + 6x + -75x = 9(4x + -11) Combine like terms: 6x + -75x = -69x 6 + -69x = 9(4x + -11) Reorder the terms: 6 + -69x = 9(-11 + 4x) 6 + -69x = (-11 * 9 + 4x * 9) 6 + -69x = (-99 + 36x) Solving 6 + -69x = -99 + 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. 6 + -69x + -36x = -99 + 36x + -36x Combine like terms: -69x + -36x = -105x 6 + -105x = -99 + 36x + -36x Combine like terms: 36x + -36x = 0 6 + -105x = -99 + 0 6 + -105x = -99 Add '-6' to each side of the equation. 6 + -6 + -105x = -99 + -6 Combine like terms: 6 + -6 = 0 0 + -105x = -99 + -6 -105x = -99 + -6 Combine like terms: -99 + -6 = -105 -105x = -105 Divide each side by '-105'. x = 1 Simplifying x = 1
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