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Simplifying (2x + -3) * 2 = 3(2x + 1) Reorder the terms: (-3 + 2x) * 2 = 3(2x + 1) Reorder the terms for easier multiplication: 2(-3 + 2x) = 3(2x + 1) (-3 * 2 + 2x * 2) = 3(2x + 1) (-6 + 4x) = 3(2x + 1) Reorder the terms: -6 + 4x = 3(1 + 2x) -6 + 4x = (1 * 3 + 2x * 3) -6 + 4x = (3 + 6x) Solving -6 + 4x = 3 + 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 = 3 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = 3 + 0 -6 + -2x = 3 Add '6' to each side of the equation. -6 + 6 + -2x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 3 + 6 -2x = 3 + 6 Combine like terms: 3 + 6 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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