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Simplifying 6(-2x + -3) + 430 = 5(4x + -4) + 5x Reorder the terms: 6(-3 + -2x) + 430 = 5(4x + -4) + 5x (-3 * 6 + -2x * 6) + 430 = 5(4x + -4) + 5x (-18 + -12x) + 430 = 5(4x + -4) + 5x Reorder the terms: -18 + 430 + -12x = 5(4x + -4) + 5x Combine like terms: -18 + 430 = 412 412 + -12x = 5(4x + -4) + 5x Reorder the terms: 412 + -12x = 5(-4 + 4x) + 5x 412 + -12x = (-4 * 5 + 4x * 5) + 5x 412 + -12x = (-20 + 20x) + 5x Combine like terms: 20x + 5x = 25x 412 + -12x = -20 + 25x Solving 412 + -12x = -20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 412 + -12x + -25x = -20 + 25x + -25x Combine like terms: -12x + -25x = -37x 412 + -37x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 412 + -37x = -20 + 0 412 + -37x = -20 Add '-412' to each side of the equation. 412 + -412 + -37x = -20 + -412 Combine like terms: 412 + -412 = 0 0 + -37x = -20 + -412 -37x = -20 + -412 Combine like terms: -20 + -412 = -432 -37x = -432 Divide each side by '-37'. x = 11.67567568 Simplifying x = 11.67567568
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