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Simplifying 3x + 5 = 5(2x + -7) Reorder the terms: 5 + 3x = 5(2x + -7) Reorder the terms: 5 + 3x = 5(-7 + 2x) 5 + 3x = (-7 * 5 + 2x * 5) 5 + 3x = (-35 + 10x) Solving 5 + 3x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 3x + -10x = -35 + 10x + -10x Combine like terms: 3x + -10x = -7x 5 + -7x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -7x = -35 + 0 5 + -7x = -35 Add '-5' to each side of the equation. 5 + -5 + -7x = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -35 + -5 -7x = -35 + -5 Combine like terms: -35 + -5 = -40 -7x = -40 Divide each side by '-7'. x = 5.714285714 Simplifying x = 5.714285714
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