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Simplifying 4(4x + -7) + -8 = 4(x + -4) + 52 Reorder the terms: 4(-7 + 4x) + -8 = 4(x + -4) + 52 (-7 * 4 + 4x * 4) + -8 = 4(x + -4) + 52 (-28 + 16x) + -8 = 4(x + -4) + 52 Reorder the terms: -28 + -8 + 16x = 4(x + -4) + 52 Combine like terms: -28 + -8 = -36 -36 + 16x = 4(x + -4) + 52 Reorder the terms: -36 + 16x = 4(-4 + x) + 52 -36 + 16x = (-4 * 4 + x * 4) + 52 -36 + 16x = (-16 + 4x) + 52 Reorder the terms: -36 + 16x = -16 + 52 + 4x Combine like terms: -16 + 52 = 36 -36 + 16x = 36 + 4x Solving -36 + 16x = 36 + 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 + 16x + -4x = 36 + 4x + -4x Combine like terms: 16x + -4x = 12x -36 + 12x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 12x = 36 + 0 -36 + 12x = 36 Add '36' to each side of the equation. -36 + 36 + 12x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 36 + 36 12x = 36 + 36 Combine like terms: 36 + 36 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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