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Simplifying 3x + -5 = 5(x + -7) Reorder the terms: -5 + 3x = 5(x + -7) Reorder the terms: -5 + 3x = 5(-7 + x) -5 + 3x = (-7 * 5 + x * 5) -5 + 3x = (-35 + 5x) Solving -5 + 3x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 3x + -5x = -35 + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = -35 + 0 -5 + -2x = -35 Add '5' to each side of the equation. -5 + 5 + -2x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -35 + 5 -2x = -35 + 5 Combine like terms: -35 + 5 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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