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Simplifying 30x + -1(7 + 15x) = 12x + 8 30x + (7 * -1 + 15x * -1) = 12x + 8 30x + (-7 + -15x) = 12x + 8 Reorder the terms: -7 + 30x + -15x = 12x + 8 Combine like terms: 30x + -15x = 15x -7 + 15x = 12x + 8 Reorder the terms: -7 + 15x = 8 + 12x Solving -7 + 15x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -7 + 15x + -12x = 8 + 12x + -12x Combine like terms: 15x + -12x = 3x -7 + 3x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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