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Simplifying 20(3x + -3) + -15(4x + -16) = 12(5x + -15) Reorder the terms: 20(-3 + 3x) + -15(4x + -16) = 12(5x + -15) (-3 * 20 + 3x * 20) + -15(4x + -16) = 12(5x + -15) (-60 + 60x) + -15(4x + -16) = 12(5x + -15) Reorder the terms: -60 + 60x + -15(-16 + 4x) = 12(5x + -15) -60 + 60x + (-16 * -15 + 4x * -15) = 12(5x + -15) -60 + 60x + (240 + -60x) = 12(5x + -15) Reorder the terms: -60 + 240 + 60x + -60x = 12(5x + -15) Combine like terms: -60 + 240 = 180 180 + 60x + -60x = 12(5x + -15) Combine like terms: 60x + -60x = 0 180 + 0 = 12(5x + -15) 180 = 12(5x + -15) Reorder the terms: 180 = 12(-15 + 5x) 180 = (-15 * 12 + 5x * 12) 180 = (-180 + 60x) Solving 180 = -180 + 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. 180 + -60x = -180 + 60x + -60x Combine like terms: 60x + -60x = 0 180 + -60x = -180 + 0 180 + -60x = -180 Add '-180' to each side of the equation. 180 + -180 + -60x = -180 + -180 Combine like terms: 180 + -180 = 0 0 + -60x = -180 + -180 -60x = -180 + -180 Combine like terms: -180 + -180 = -360 -60x = -360 Divide each side by '-60'. x = 6 Simplifying x = 6
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