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Simplifying -5(4 + -3x) + 1 = 8x + 30 (4 * -5 + -3x * -5) + 1 = 8x + 30 (-20 + 15x) + 1 = 8x + 30 Reorder the terms: -20 + 1 + 15x = 8x + 30 Combine like terms: -20 + 1 = -19 -19 + 15x = 8x + 30 Reorder the terms: -19 + 15x = 30 + 8x Solving -19 + 15x = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -19 + 15x + -8x = 30 + 8x + -8x Combine like terms: 15x + -8x = 7x -19 + 7x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 -19 + 7x = 30 + 0 -19 + 7x = 30 Add '19' to each side of the equation. -19 + 19 + 7x = 30 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 30 + 19 7x = 30 + 19 Combine like terms: 30 + 19 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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