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Simplifying 4(3x + -7) + -8 = 4(x + -2) + 20 Reorder the terms: 4(-7 + 3x) + -8 = 4(x + -2) + 20 (-7 * 4 + 3x * 4) + -8 = 4(x + -2) + 20 (-28 + 12x) + -8 = 4(x + -2) + 20 Reorder the terms: -28 + -8 + 12x = 4(x + -2) + 20 Combine like terms: -28 + -8 = -36 -36 + 12x = 4(x + -2) + 20 Reorder the terms: -36 + 12x = 4(-2 + x) + 20 -36 + 12x = (-2 * 4 + x * 4) + 20 -36 + 12x = (-8 + 4x) + 20 Reorder the terms: -36 + 12x = -8 + 20 + 4x Combine like terms: -8 + 20 = 12 -36 + 12x = 12 + 4x Solving -36 + 12x = 12 + 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. -36 + 12x + -4x = 12 + 4x + -4x Combine like terms: 12x + -4x = 8x -36 + 8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 8x = 12 + 0 -36 + 8x = 12 Add '36' to each side of the equation. -36 + 36 + 8x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 12 + 36 8x = 12 + 36 Combine like terms: 12 + 36 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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