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Simplifying 4(3x + -2) + -4 = 4(x + -4) + 68 Reorder the terms: 4(-2 + 3x) + -4 = 4(x + -4) + 68 (-2 * 4 + 3x * 4) + -4 = 4(x + -4) + 68 (-8 + 12x) + -4 = 4(x + -4) + 68 Reorder the terms: -8 + -4 + 12x = 4(x + -4) + 68 Combine like terms: -8 + -4 = -12 -12 + 12x = 4(x + -4) + 68 Reorder the terms: -12 + 12x = 4(-4 + x) + 68 -12 + 12x = (-4 * 4 + x * 4) + 68 -12 + 12x = (-16 + 4x) + 68 Reorder the terms: -12 + 12x = -16 + 68 + 4x Combine like terms: -16 + 68 = 52 -12 + 12x = 52 + 4x Solving -12 + 12x = 52 + 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. -12 + 12x + -4x = 52 + 4x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 8x = 52 + 0 -12 + 8x = 52 Add '12' to each side of the equation. -12 + 12 + 8x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 52 + 12 8x = 52 + 12 Combine like terms: 52 + 12 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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