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Simplifying (x + 4) + -2(4 + -4x) = 5(x + 3) + -3 Reorder the terms: (4 + x) + -2(4 + -4x) = 5(x + 3) + -3 Remove parenthesis around (4 + x) 4 + x + -2(4 + -4x) = 5(x + 3) + -3 4 + x + (4 * -2 + -4x * -2) = 5(x + 3) + -3 4 + x + (-8 + 8x) = 5(x + 3) + -3 Reorder the terms: 4 + -8 + x + 8x = 5(x + 3) + -3 Combine like terms: 4 + -8 = -4 -4 + x + 8x = 5(x + 3) + -3 Combine like terms: x + 8x = 9x -4 + 9x = 5(x + 3) + -3 Reorder the terms: -4 + 9x = 5(3 + x) + -3 -4 + 9x = (3 * 5 + x * 5) + -3 -4 + 9x = (15 + 5x) + -3 Reorder the terms: -4 + 9x = 15 + -3 + 5x Combine like terms: 15 + -3 = 12 -4 + 9x = 12 + 5x Solving -4 + 9x = 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 + 9x + -5x = 12 + 5x + -5x Combine like terms: 9x + -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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