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Simplifying 3(4x + -80) + 6x = 2(x + 40) Reorder the terms: 3(-80 + 4x) + 6x = 2(x + 40) (-80 * 3 + 4x * 3) + 6x = 2(x + 40) (-240 + 12x) + 6x = 2(x + 40) Combine like terms: 12x + 6x = 18x -240 + 18x = 2(x + 40) Reorder the terms: -240 + 18x = 2(40 + x) -240 + 18x = (40 * 2 + x * 2) -240 + 18x = (80 + 2x) Solving -240 + 18x = 80 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -240 + 18x + -2x = 80 + 2x + -2x Combine like terms: 18x + -2x = 16x -240 + 16x = 80 + 2x + -2x Combine like terms: 2x + -2x = 0 -240 + 16x = 80 + 0 -240 + 16x = 80 Add '240' to each side of the equation. -240 + 240 + 16x = 80 + 240 Combine like terms: -240 + 240 = 0 0 + 16x = 80 + 240 16x = 80 + 240 Combine like terms: 80 + 240 = 320 16x = 320 Divide each side by '16'. x = 20 Simplifying x = 20
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