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Simplifying 7 + 3(4x + -4) = 5(2x + 1) Reorder the terms: 7 + 3(-4 + 4x) = 5(2x + 1) 7 + (-4 * 3 + 4x * 3) = 5(2x + 1) 7 + (-12 + 12x) = 5(2x + 1) Combine like terms: 7 + -12 = -5 -5 + 12x = 5(2x + 1) Reorder the terms: -5 + 12x = 5(1 + 2x) -5 + 12x = (1 * 5 + 2x * 5) -5 + 12x = (5 + 10x) Solving -5 + 12x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x -5 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + 2x = 5 + 0 -5 + 2x = 5 Add '5' to each side of the equation. -5 + 5 + 2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 5 + 5 2x = 5 + 5 Combine like terms: 5 + 5 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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