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Simplifying 3x + 1 = 2(4x + -3) Reorder the terms: 1 + 3x = 2(4x + -3) Reorder the terms: 1 + 3x = 2(-3 + 4x) 1 + 3x = (-3 * 2 + 4x * 2) 1 + 3x = (-6 + 8x) Solving 1 + 3x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 3x + -8x = -6 + 8x + -8x Combine like terms: 3x + -8x = -5x 1 + -5x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -5x = -6 + 0 1 + -5x = -6 Add '-1' to each side of the equation. 1 + -1 + -5x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -6 + -1 -5x = -6 + -1 Combine like terms: -6 + -1 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4
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