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Simplifying 7x + 4 = 2(3x + -2) + 8 Reorder the terms: 4 + 7x = 2(3x + -2) + 8 Reorder the terms: 4 + 7x = 2(-2 + 3x) + 8 4 + 7x = (-2 * 2 + 3x * 2) + 8 4 + 7x = (-4 + 6x) + 8 Reorder the terms: 4 + 7x = -4 + 8 + 6x Combine like terms: -4 + 8 = 4 4 + 7x = 4 + 6x Add '-4' to each side of the equation. 4 + -4 + 7x = 4 + -4 + 6x Combine like terms: 4 + -4 = 0 0 + 7x = 4 + -4 + 6x 7x = 4 + -4 + 6x Combine like terms: 4 + -4 = 0 7x = 0 + 6x 7x = 6x Solving 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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