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Simplifying 7x + 3 = 2(3x + -2) + 8 Reorder the terms: 3 + 7x = 2(3x + -2) + 8 Reorder the terms: 3 + 7x = 2(-2 + 3x) + 8 3 + 7x = (-2 * 2 + 3x * 2) + 8 3 + 7x = (-4 + 6x) + 8 Reorder the terms: 3 + 7x = -4 + 8 + 6x Combine like terms: -4 + 8 = 4 3 + 7x = 4 + 6x Solving 3 + 7x = 4 + 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. 3 + 7x + -6x = 4 + 6x + -6x Combine like terms: 7x + -6x = 1x 3 + 1x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 1x = 4 + 0 3 + 1x = 4 Add '-3' to each side of the equation. 3 + -3 + 1x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 4 + -3 1x = 4 + -3 Combine like terms: 4 + -3 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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