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Simplifying 2(3x + -4) = -7(x + 6) Reorder the terms: 2(-4 + 3x) = -7(x + 6) (-4 * 2 + 3x * 2) = -7(x + 6) (-8 + 6x) = -7(x + 6) Reorder the terms: -8 + 6x = -7(6 + x) -8 + 6x = (6 * -7 + x * -7) -8 + 6x = (-42 + -7x) Solving -8 + 6x = -42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + 6x + 7x = -42 + -7x + 7x Combine like terms: 6x + 7x = 13x -8 + 13x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 13x = -42 + 0 -8 + 13x = -42 Add '8' to each side of the equation. -8 + 8 + 13x = -42 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = -42 + 8 13x = -42 + 8 Combine like terms: -42 + 8 = -34 13x = -34 Divide each side by '13'. x = -2.615384615 Simplifying x = -2.615384615
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