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