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Simplifying 3(8x + -20) = 4(15x + -6) Reorder the terms: 3(-20 + 8x) = 4(15x + -6) (-20 * 3 + 8x * 3) = 4(15x + -6) (-60 + 24x) = 4(15x + -6) Reorder the terms: -60 + 24x = 4(-6 + 15x) -60 + 24x = (-6 * 4 + 15x * 4) -60 + 24x = (-24 + 60x) Solving -60 + 24x = -24 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -60 + 24x + -60x = -24 + 60x + -60x Combine like terms: 24x + -60x = -36x -60 + -36x = -24 + 60x + -60x Combine like terms: 60x + -60x = 0 -60 + -36x = -24 + 0 -60 + -36x = -24 Add '60' to each side of the equation. -60 + 60 + -36x = -24 + 60 Combine like terms: -60 + 60 = 0 0 + -36x = -24 + 60 -36x = -24 + 60 Combine like terms: -24 + 60 = 36 -36x = 36 Divide each side by '-36'. x = -1 Simplifying x = -1
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