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Simplifying 5(-7x + -3) = 6(2x + -5) Reorder the terms: 5(-3 + -7x) = 6(2x + -5) (-3 * 5 + -7x * 5) = 6(2x + -5) (-15 + -35x) = 6(2x + -5) Reorder the terms: -15 + -35x = 6(-5 + 2x) -15 + -35x = (-5 * 6 + 2x * 6) -15 + -35x = (-30 + 12x) Solving -15 + -35x = -30 + 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. -15 + -35x + -12x = -30 + 12x + -12x Combine like terms: -35x + -12x = -47x -15 + -47x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -47x = -30 + 0 -15 + -47x = -30 Add '15' to each side of the equation. -15 + 15 + -47x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -47x = -30 + 15 -47x = -30 + 15 Combine like terms: -30 + 15 = -15 -47x = -15 Divide each side by '-47'. x = 0.3191489362 Simplifying x = 0.3191489362
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