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Simplifying 6(x + -7) + -12X = -2(x + 15) Reorder the terms: 6(-7 + x) + -12X = -2(x + 15) (-7 * 6 + x * 6) + -12X = -2(x + 15) (-42 + 6x) + -12X = -2(x + 15) Reorder the terms: -42 + -12X + 6x = -2(x + 15) Reorder the terms: -42 + -12X + 6x = -2(15 + x) -42 + -12X + 6x = (15 * -2 + x * -2) -42 + -12X + 6x = (-30 + -2x) Solving -42 + -12X + 6x = -30 + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -12X + 42 + 6x = -30 + 42 + -2x Reorder the terms: -42 + 42 + -12X + 6x = -30 + 42 + -2x Combine like terms: -42 + 42 = 0 0 + -12X + 6x = -30 + 42 + -2x -12X + 6x = -30 + 42 + -2x Combine like terms: -30 + 42 = 12 -12X + 6x = 12 + -2x Add '-6x' to each side of the equation. -12X + 6x + -6x = 12 + -2x + -6x Combine like terms: 6x + -6x = 0 -12X + 0 = 12 + -2x + -6x -12X = 12 + -2x + -6x Combine like terms: -2x + -6x = -8x -12X = 12 + -8x Divide each side by '-12'. X = -1 + 0.6666666667x Simplifying X = -1 + 0.6666666667x
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