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Simplifying 7x + 30 = 3x + -2(8x + -5) Reorder the terms: 30 + 7x = 3x + -2(8x + -5) Reorder the terms: 30 + 7x = 3x + -2(-5 + 8x) 30 + 7x = 3x + (-5 * -2 + 8x * -2) 30 + 7x = 3x + (10 + -16x) Reorder the terms: 30 + 7x = 10 + 3x + -16x Combine like terms: 3x + -16x = -13x 30 + 7x = 10 + -13x Solving 30 + 7x = 10 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 30 + 7x + 13x = 10 + -13x + 13x Combine like terms: 7x + 13x = 20x 30 + 20x = 10 + -13x + 13x Combine like terms: -13x + 13x = 0 30 + 20x = 10 + 0 30 + 20x = 10 Add '-30' to each side of the equation. 30 + -30 + 20x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 20x = 10 + -30 20x = 10 + -30 Combine like terms: 10 + -30 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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