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Simplifying x + -3(x + 4) = 6x + 9 Reorder the terms: x + -3(4 + x) = 6x + 9 x + (4 * -3 + x * -3) = 6x + 9 x + (-12 + -3x) = 6x + 9 Reorder the terms: -12 + x + -3x = 6x + 9 Combine like terms: x + -3x = -2x -12 + -2x = 6x + 9 Reorder the terms: -12 + -2x = 9 + 6x Solving -12 + -2x = 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. -12 + -2x + -6x = 9 + 6x + -6x Combine like terms: -2x + -6x = -8x -12 + -8x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -8x = 9 + 0 -12 + -8x = 9 Add '12' to each side of the equation. -12 + 12 + -8x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 9 + 12 -8x = 9 + 12 Combine like terms: 9 + 12 = 21 -8x = 21 Divide each side by '-8'. x = -2.625 Simplifying x = -2.625
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