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Simplifying 3(x + -3) + -9x + -4 = 2x + 12 Reorder the terms: 3(-3 + x) + -9x + -4 = 2x + 12 (-3 * 3 + x * 3) + -9x + -4 = 2x + 12 (-9 + 3x) + -9x + -4 = 2x + 12 Reorder the terms: -9 + -4 + 3x + -9x = 2x + 12 Combine like terms: -9 + -4 = -13 -13 + 3x + -9x = 2x + 12 Combine like terms: 3x + -9x = -6x -13 + -6x = 2x + 12 Reorder the terms: -13 + -6x = 12 + 2x Solving -13 + -6x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + -6x + -2x = 12 + 2x + -2x Combine like terms: -6x + -2x = -8x -13 + -8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -8x = 12 + 0 -13 + -8x = 12 Add '13' to each side of the equation. -13 + 13 + -8x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 12 + 13 -8x = 12 + 13 Combine like terms: 12 + 13 = 25 -8x = 25 Divide each side by '-8'. x = -3.125 Simplifying x = -3.125
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