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Simplifying -5x + 30 = 7x + -70 + 4 Reorder the terms: 30 + -5x = 7x + -70 + 4 Reorder the terms: 30 + -5x = -70 + 4 + 7x Combine like terms: -70 + 4 = -66 30 + -5x = -66 + 7x Solving 30 + -5x = -66 + 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 + -5x + -7x = -66 + 7x + -7x Combine like terms: -5x + -7x = -12x 30 + -12x = -66 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -12x = -66 + 0 30 + -12x = -66 Add '-30' to each side of the equation. 30 + -30 + -12x = -66 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = -66 + -30 -12x = -66 + -30 Combine like terms: -66 + -30 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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