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Simplifying 30 + 3x = -1(-7x + -6) Reorder the terms: 30 + 3x = -1(-6 + -7x) 30 + 3x = (-6 * -1 + -7x * -1) 30 + 3x = (6 + 7x) Solving 30 + 3x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 3x + -7x = 6 + 7x + -7x Combine like terms: 3x + -7x = -4x 30 + -4x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -4x = 6 + 0 30 + -4x = 6 Add '-30' to each side of the equation. 30 + -30 + -4x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 6 + -30 -4x = 6 + -30 Combine like terms: 6 + -30 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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