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Simplifying -4 + 4(3x + -2) = 7(x + 2) + 7x Reorder the terms: -4 + 4(-2 + 3x) = 7(x + 2) + 7x -4 + (-2 * 4 + 3x * 4) = 7(x + 2) + 7x -4 + (-8 + 12x) = 7(x + 2) + 7x Combine like terms: -4 + -8 = -12 -12 + 12x = 7(x + 2) + 7x Reorder the terms: -12 + 12x = 7(2 + x) + 7x -12 + 12x = (2 * 7 + x * 7) + 7x -12 + 12x = (14 + 7x) + 7x Combine like terms: 7x + 7x = 14x -12 + 12x = 14 + 14x Solving -12 + 12x = 14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + 12x + -14x = 14 + 14x + -14x Combine like terms: 12x + -14x = -2x -12 + -2x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -2x = 14 + 0 -12 + -2x = 14 Add '12' to each side of the equation. -12 + 12 + -2x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 14 + 12 -2x = 14 + 12 Combine like terms: 14 + 12 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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