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Simplifying x + 4 = 3(4x + -4) + -7x Reorder the terms: 4 + x = 3(4x + -4) + -7x Reorder the terms: 4 + x = 3(-4 + 4x) + -7x 4 + x = (-4 * 3 + 4x * 3) + -7x 4 + x = (-12 + 12x) + -7x Combine like terms: 12x + -7x = 5x 4 + x = -12 + 5x Solving 4 + x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + x + -5x = -12 + 5x + -5x Combine like terms: x + -5x = -4x 4 + -4x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -4x = -12 + 0 4 + -4x = -12 Add '-4' to each side of the equation. 4 + -4 + -4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -12 + -4 -4x = -12 + -4 Combine like terms: -12 + -4 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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