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Simplifying (2x + 3) * 2 = 6x + -7 Reorder the terms: (3 + 2x) * 2 = 6x + -7 Reorder the terms for easier multiplication: 2(3 + 2x) = 6x + -7 (3 * 2 + 2x * 2) = 6x + -7 (6 + 4x) = 6x + -7 Reorder the terms: 6 + 4x = -7 + 6x Solving 6 + 4x = -7 + 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. 6 + 4x + -6x = -7 + 6x + -6x Combine like terms: 4x + -6x = -2x 6 + -2x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -2x = -7 + 0 6 + -2x = -7 Add '-6' to each side of the equation. 6 + -6 + -2x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -7 + -6 -2x = -7 + -6 Combine like terms: -7 + -6 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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