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Simplifying 3x + -9(x + 5) = 6x + -3 Reorder the terms: 3x + -9(5 + x) = 6x + -3 3x + (5 * -9 + x * -9) = 6x + -3 3x + (-45 + -9x) = 6x + -3 Reorder the terms: -45 + 3x + -9x = 6x + -3 Combine like terms: 3x + -9x = -6x -45 + -6x = 6x + -3 Reorder the terms: -45 + -6x = -3 + 6x Solving -45 + -6x = -3 + 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. -45 + -6x + -6x = -3 + 6x + -6x Combine like terms: -6x + -6x = -12x -45 + -12x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + -12x = -3 + 0 -45 + -12x = -3 Add '45' to each side of the equation. -45 + 45 + -12x = -3 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = -3 + 45 -12x = -3 + 45 Combine like terms: -3 + 45 = 42 -12x = 42 Divide each side by '-12'. x = -3.5 Simplifying x = -3.5
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