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Simplifying 12(3x + -3) + -7(2x + -6) = 2x + -42 Reorder the terms: 12(-3 + 3x) + -7(2x + -6) = 2x + -42 (-3 * 12 + 3x * 12) + -7(2x + -6) = 2x + -42 (-36 + 36x) + -7(2x + -6) = 2x + -42 Reorder the terms: -36 + 36x + -7(-6 + 2x) = 2x + -42 -36 + 36x + (-6 * -7 + 2x * -7) = 2x + -42 -36 + 36x + (42 + -14x) = 2x + -42 Reorder the terms: -36 + 42 + 36x + -14x = 2x + -42 Combine like terms: -36 + 42 = 6 6 + 36x + -14x = 2x + -42 Combine like terms: 36x + -14x = 22x 6 + 22x = 2x + -42 Reorder the terms: 6 + 22x = -42 + 2x Solving 6 + 22x = -42 + 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. 6 + 22x + -2x = -42 + 2x + -2x Combine like terms: 22x + -2x = 20x 6 + 20x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 20x = -42 + 0 6 + 20x = -42 Add '-6' to each side of the equation. 6 + -6 + 20x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + 20x = -42 + -6 20x = -42 + -6 Combine like terms: -42 + -6 = -48 20x = -48 Divide each side by '20'. x = -2.4 Simplifying x = -2.4
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