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Simplifying 4(3x + -7) + 6 = 8x + -3(2 + -2x) Reorder the terms: 4(-7 + 3x) + 6 = 8x + -3(2 + -2x) (-7 * 4 + 3x * 4) + 6 = 8x + -3(2 + -2x) (-28 + 12x) + 6 = 8x + -3(2 + -2x) Reorder the terms: -28 + 6 + 12x = 8x + -3(2 + -2x) Combine like terms: -28 + 6 = -22 -22 + 12x = 8x + -3(2 + -2x) -22 + 12x = 8x + (2 * -3 + -2x * -3) -22 + 12x = 8x + (-6 + 6x) Reorder the terms: -22 + 12x = -6 + 8x + 6x Combine like terms: 8x + 6x = 14x -22 + 12x = -6 + 14x Solving -22 + 12x = -6 + 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. -22 + 12x + -14x = -6 + 14x + -14x Combine like terms: 12x + -14x = -2x -22 + -2x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 -22 + -2x = -6 + 0 -22 + -2x = -6 Add '22' to each side of the equation. -22 + 22 + -2x = -6 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -6 + 22 -2x = -6 + 22 Combine like terms: -6 + 22 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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