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Simplifying 6(5x + -5) + 7x = -30 + -3x Reorder the terms: 6(-5 + 5x) + 7x = -30 + -3x (-5 * 6 + 5x * 6) + 7x = -30 + -3x (-30 + 30x) + 7x = -30 + -3x Combine like terms: 30x + 7x = 37x -30 + 37x = -30 + -3x Add '30' to each side of the equation. -30 + 30 + 37x = -30 + 30 + -3x Combine like terms: -30 + 30 = 0 0 + 37x = -30 + 30 + -3x 37x = -30 + 30 + -3x Combine like terms: -30 + 30 = 0 37x = 0 + -3x 37x = -3x Solving 37x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 37x + 3x = -3x + 3x Combine like terms: 37x + 3x = 40x 40x = -3x + 3x Combine like terms: -3x + 3x = 0 40x = 0 Divide each side by '40'. x = 0.0 Simplifying x = 0.0
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