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Simplifying 4(3x + -7) + -6 = 4(x + -2) + 22 Reorder the terms: 4(-7 + 3x) + -6 = 4(x + -2) + 22 (-7 * 4 + 3x * 4) + -6 = 4(x + -2) + 22 (-28 + 12x) + -6 = 4(x + -2) + 22 Reorder the terms: -28 + -6 + 12x = 4(x + -2) + 22 Combine like terms: -28 + -6 = -34 -34 + 12x = 4(x + -2) + 22 Reorder the terms: -34 + 12x = 4(-2 + x) + 22 -34 + 12x = (-2 * 4 + x * 4) + 22 -34 + 12x = (-8 + 4x) + 22 Reorder the terms: -34 + 12x = -8 + 22 + 4x Combine like terms: -8 + 22 = 14 -34 + 12x = 14 + 4x Solving -34 + 12x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -34 + 12x + -4x = 14 + 4x + -4x Combine like terms: 12x + -4x = 8x -34 + 8x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 8x = 14 + 0 -34 + 8x = 14 Add '34' to each side of the equation. -34 + 34 + 8x = 14 + 34 Combine like terms: -34 + 34 = 0 0 + 8x = 14 + 34 8x = 14 + 34 Combine like terms: 14 + 34 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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