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Simplifying 2(4x + -2) + -4x = 3(x + 5) + -3 Reorder the terms: 2(-2 + 4x) + -4x = 3(x + 5) + -3 (-2 * 2 + 4x * 2) + -4x = 3(x + 5) + -3 (-4 + 8x) + -4x = 3(x + 5) + -3 Combine like terms: 8x + -4x = 4x -4 + 4x = 3(x + 5) + -3 Reorder the terms: -4 + 4x = 3(5 + x) + -3 -4 + 4x = (5 * 3 + x * 3) + -3 -4 + 4x = (15 + 3x) + -3 Reorder the terms: -4 + 4x = 15 + -3 + 3x Combine like terms: 15 + -3 = 12 -4 + 4x = 12 + 3x Solving -4 + 4x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = 12 + 0 -4 + 1x = 12 Add '4' to each side of the equation. -4 + 4 + 1x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 12 + 4 1x = 12 + 4 Combine like terms: 12 + 4 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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