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Simplifying 3x + 5 = 2(4x + -7) Reorder the terms: 5 + 3x = 2(4x + -7) Reorder the terms: 5 + 3x = 2(-7 + 4x) 5 + 3x = (-7 * 2 + 4x * 2) 5 + 3x = (-14 + 8x) Solving 5 + 3x = -14 + 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. 5 + 3x + -8x = -14 + 8x + -8x Combine like terms: 3x + -8x = -5x 5 + -5x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -5x = -14 + 0 5 + -5x = -14 Add '-5' to each side of the equation. 5 + -5 + -5x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -14 + -5 -5x = -14 + -5 Combine like terms: -14 + -5 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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