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Simplifying 5 + 3(4x + -4) = 7(2x + -1) Reorder the terms: 5 + 3(-4 + 4x) = 7(2x + -1) 5 + (-4 * 3 + 4x * 3) = 7(2x + -1) 5 + (-12 + 12x) = 7(2x + -1) Combine like terms: 5 + -12 = -7 -7 + 12x = 7(2x + -1) Reorder the terms: -7 + 12x = 7(-1 + 2x) -7 + 12x = (-1 * 7 + 2x * 7) -7 + 12x = (-7 + 14x) Add '7' to each side of the equation. -7 + 7 + 12x = -7 + 7 + 14x Combine like terms: -7 + 7 = 0 0 + 12x = -7 + 7 + 14x 12x = -7 + 7 + 14x Combine like terms: -7 + 7 = 0 12x = 0 + 14x 12x = 14x Solving 12x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12x + -14x = 14x + -14x Combine like terms: 12x + -14x = -2x -2x = 14x + -14x Combine like terms: 14x + -14x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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