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Simplifying 3(x + -2) + -9(x + 6) = -4(x + 14) Reorder the terms: 3(-2 + x) + -9(x + 6) = -4(x + 14) (-2 * 3 + x * 3) + -9(x + 6) = -4(x + 14) (-6 + 3x) + -9(x + 6) = -4(x + 14) Reorder the terms: -6 + 3x + -9(6 + x) = -4(x + 14) -6 + 3x + (6 * -9 + x * -9) = -4(x + 14) -6 + 3x + (-54 + -9x) = -4(x + 14) Reorder the terms: -6 + -54 + 3x + -9x = -4(x + 14) Combine like terms: -6 + -54 = -60 -60 + 3x + -9x = -4(x + 14) Combine like terms: 3x + -9x = -6x -60 + -6x = -4(x + 14) Reorder the terms: -60 + -6x = -4(14 + x) -60 + -6x = (14 * -4 + x * -4) -60 + -6x = (-56 + -4x) Solving -60 + -6x = -56 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -60 + -6x + 4x = -56 + -4x + 4x Combine like terms: -6x + 4x = -2x -60 + -2x = -56 + -4x + 4x Combine like terms: -4x + 4x = 0 -60 + -2x = -56 + 0 -60 + -2x = -56 Add '60' to each side of the equation. -60 + 60 + -2x = -56 + 60 Combine like terms: -60 + 60 = 0 0 + -2x = -56 + 60 -2x = -56 + 60 Combine like terms: -56 + 60 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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