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Simplifying 4(4x + -7) + -7 = 4(x + -4) + 53 Reorder the terms: 4(-7 + 4x) + -7 = 4(x + -4) + 53 (-7 * 4 + 4x * 4) + -7 = 4(x + -4) + 53 (-28 + 16x) + -7 = 4(x + -4) + 53 Reorder the terms: -28 + -7 + 16x = 4(x + -4) + 53 Combine like terms: -28 + -7 = -35 -35 + 16x = 4(x + -4) + 53 Reorder the terms: -35 + 16x = 4(-4 + x) + 53 -35 + 16x = (-4 * 4 + x * 4) + 53 -35 + 16x = (-16 + 4x) + 53 Reorder the terms: -35 + 16x = -16 + 53 + 4x Combine like terms: -16 + 53 = 37 -35 + 16x = 37 + 4x Solving -35 + 16x = 37 + 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. -35 + 16x + -4x = 37 + 4x + -4x Combine like terms: 16x + -4x = 12x -35 + 12x = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 12x = 37 + 0 -35 + 12x = 37 Add '35' to each side of the equation. -35 + 35 + 12x = 37 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 37 + 35 12x = 37 + 35 Combine like terms: 37 + 35 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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