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Simplifying 3x + 7 = 2(4x + -5) Reorder the terms: 7 + 3x = 2(4x + -5) Reorder the terms: 7 + 3x = 2(-5 + 4x) 7 + 3x = (-5 * 2 + 4x * 2) 7 + 3x = (-10 + 8x) Solving 7 + 3x = -10 + 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. 7 + 3x + -8x = -10 + 8x + -8x Combine like terms: 3x + -8x = -5x 7 + -5x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -5x = -10 + 0 7 + -5x = -10 Add '-7' to each side of the equation. 7 + -7 + -5x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -10 + -7 -5x = -10 + -7 Combine like terms: -10 + -7 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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