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Simplifying 6(x + 40) = 3(4x + -2) Reorder the terms: 6(40 + x) = 3(4x + -2) (40 * 6 + x * 6) = 3(4x + -2) (240 + 6x) = 3(4x + -2) Reorder the terms: 240 + 6x = 3(-2 + 4x) 240 + 6x = (-2 * 3 + 4x * 3) 240 + 6x = (-6 + 12x) Solving 240 + 6x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 240 + 6x + -12x = -6 + 12x + -12x Combine like terms: 6x + -12x = -6x 240 + -6x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 240 + -6x = -6 + 0 240 + -6x = -6 Add '-240' to each side of the equation. 240 + -240 + -6x = -6 + -240 Combine like terms: 240 + -240 = 0 0 + -6x = -6 + -240 -6x = -6 + -240 Combine like terms: -6 + -240 = -246 -6x = -246 Divide each side by '-6'. x = 41 Simplifying x = 41
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