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Simplifying 2(2x + -4) + 1 = 3x + -7 Reorder the terms: 2(-4 + 2x) + 1 = 3x + -7 (-4 * 2 + 2x * 2) + 1 = 3x + -7 (-8 + 4x) + 1 = 3x + -7 Reorder the terms: -8 + 1 + 4x = 3x + -7 Combine like terms: -8 + 1 = -7 -7 + 4x = 3x + -7 Reorder the terms: -7 + 4x = -7 + 3x Add '7' to each side of the equation. -7 + 7 + 4x = -7 + 7 + 3x Combine like terms: -7 + 7 = 0 0 + 4x = -7 + 7 + 3x 4x = -7 + 7 + 3x Combine like terms: -7 + 7 = 0 4x = 0 + 3x 4x = 3x Solving 4x = 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. 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 1x = 3x + -3x Combine like terms: 3x + -3x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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