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Simplifying 5(30 + -5x) = 2(-2x + -6) (30 * 5 + -5x * 5) = 2(-2x + -6) (150 + -25x) = 2(-2x + -6) Reorder the terms: 150 + -25x = 2(-6 + -2x) 150 + -25x = (-6 * 2 + -2x * 2) 150 + -25x = (-12 + -4x) Solving 150 + -25x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 150 + -25x + 4x = -12 + -4x + 4x Combine like terms: -25x + 4x = -21x 150 + -21x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 150 + -21x = -12 + 0 150 + -21x = -12 Add '-150' to each side of the equation. 150 + -150 + -21x = -12 + -150 Combine like terms: 150 + -150 = 0 0 + -21x = -12 + -150 -21x = -12 + -150 Combine like terms: -12 + -150 = -162 -21x = -162 Divide each side by '-21'. x = 7.714285714 Simplifying x = 7.714285714
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