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Simplifying 5(3x + -7) + -5 = 5(x + -2) + 40 Reorder the terms: 5(-7 + 3x) + -5 = 5(x + -2) + 40 (-7 * 5 + 3x * 5) + -5 = 5(x + -2) + 40 (-35 + 15x) + -5 = 5(x + -2) + 40 Reorder the terms: -35 + -5 + 15x = 5(x + -2) + 40 Combine like terms: -35 + -5 = -40 -40 + 15x = 5(x + -2) + 40 Reorder the terms: -40 + 15x = 5(-2 + x) + 40 -40 + 15x = (-2 * 5 + x * 5) + 40 -40 + 15x = (-10 + 5x) + 40 Reorder the terms: -40 + 15x = -10 + 40 + 5x Combine like terms: -10 + 40 = 30 -40 + 15x = 30 + 5x Solving -40 + 15x = 30 + 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 = 30 + 5x + -5x Combine like terms: 15x + -5x = 10x -40 + 10x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 10x = 30 + 0 -40 + 10x = 30 Add '40' to each side of the equation. -40 + 40 + 10x = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 30 + 40 10x = 30 + 40 Combine like terms: 30 + 40 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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