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Simplifying 2 + -3(3x + 1) = 6x + -9 Reorder the terms: 2 + -3(1 + 3x) = 6x + -9 2 + (1 * -3 + 3x * -3) = 6x + -9 2 + (-3 + -9x) = 6x + -9 Combine like terms: 2 + -3 = -1 -1 + -9x = 6x + -9 Reorder the terms: -1 + -9x = -9 + 6x Solving -1 + -9x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -9x + -6x = -9 + 6x + -6x Combine like terms: -9x + -6x = -15x -1 + -15x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -15x = -9 + 0 -1 + -15x = -9 Add '1' to each side of the equation. -1 + 1 + -15x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -15x = -9 + 1 -15x = -9 + 1 Combine like terms: -9 + 1 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333
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