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Simplifying 5x + -1(3x + 2) = 9x + -30 Reorder the terms: 5x + -1(2 + 3x) = 9x + -30 5x + (2 * -1 + 3x * -1) = 9x + -30 5x + (-2 + -3x) = 9x + -30 Reorder the terms: -2 + 5x + -3x = 9x + -30 Combine like terms: 5x + -3x = 2x -2 + 2x = 9x + -30 Reorder the terms: -2 + 2x = -30 + 9x Solving -2 + 2x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 2x + -9x = -30 + 9x + -9x Combine like terms: 2x + -9x = -7x -2 + -7x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -7x = -30 + 0 -2 + -7x = -30 Add '2' to each side of the equation. -2 + 2 + -7x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -30 + 2 -7x = -30 + 2 Combine like terms: -30 + 2 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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