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Simplifying 5(3x + -7) + -5 = 5(x + -4) Reorder the terms: 5(-7 + 3x) + -5 = 5(x + -4) (-7 * 5 + 3x * 5) + -5 = 5(x + -4) (-35 + 15x) + -5 = 5(x + -4) Reorder the terms: -35 + -5 + 15x = 5(x + -4) Combine like terms: -35 + -5 = -40 -40 + 15x = 5(x + -4) Reorder the terms: -40 + 15x = 5(-4 + x) -40 + 15x = (-4 * 5 + x * 5) -40 + 15x = (-20 + 5x) Solving -40 + 15x = -20 + 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. -40 + 15x + -5x = -20 + 5x + -5x Combine like terms: 15x + -5x = 10x -40 + 10x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 10x = -20 + 0 -40 + 10x = -20 Add '40' to each side of the equation. -40 + 40 + 10x = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = -20 + 40 10x = -20 + 40 Combine like terms: -20 + 40 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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