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Simplifying (3x + 3 + 4x) * 2 = 7x + -2 + 7x + -2 + 2x + 4 Reorder the terms: (3 + 3x + 4x) * 2 = 7x + -2 + 7x + -2 + 2x + 4 Combine like terms: 3x + 4x = 7x (3 + 7x) * 2 = 7x + -2 + 7x + -2 + 2x + 4 Reorder the terms for easier multiplication: 2(3 + 7x) = 7x + -2 + 7x + -2 + 2x + 4 (3 * 2 + 7x * 2) = 7x + -2 + 7x + -2 + 2x + 4 (6 + 14x) = 7x + -2 + 7x + -2 + 2x + 4 Reorder the terms: 6 + 14x = -2 + -2 + 4 + 7x + 7x + 2x Combine like terms: -2 + -2 = -4 6 + 14x = -4 + 4 + 7x + 7x + 2x Combine like terms: -4 + 4 = 0 6 + 14x = 0 + 7x + 7x + 2x 6 + 14x = 7x + 7x + 2x Combine like terms: 7x + 7x = 14x 6 + 14x = 14x + 2x Combine like terms: 14x + 2x = 16x 6 + 14x = 16x Solving 6 + 14x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + 14x + -16x = 16x + -16x Combine like terms: 14x + -16x = -2x 6 + -2x = 16x + -16x Combine like terms: 16x + -16x = 0 6 + -2x = 0 Add '-6' to each side of the equation. 6 + -6 + -2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 0 + -6 -2x = 0 + -6 Combine like terms: 0 + -6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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