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Simplifying 5(3x + -7) + -6 = 5(x + -3) + 34 Reorder the terms: 5(-7 + 3x) + -6 = 5(x + -3) + 34 (-7 * 5 + 3x * 5) + -6 = 5(x + -3) + 34 (-35 + 15x) + -6 = 5(x + -3) + 34 Reorder the terms: -35 + -6 + 15x = 5(x + -3) + 34 Combine like terms: -35 + -6 = -41 -41 + 15x = 5(x + -3) + 34 Reorder the terms: -41 + 15x = 5(-3 + x) + 34 -41 + 15x = (-3 * 5 + x * 5) + 34 -41 + 15x = (-15 + 5x) + 34 Reorder the terms: -41 + 15x = -15 + 34 + 5x Combine like terms: -15 + 34 = 19 -41 + 15x = 19 + 5x Solving -41 + 15x = 19 + 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. -41 + 15x + -5x = 19 + 5x + -5x Combine like terms: 15x + -5x = 10x -41 + 10x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -41 + 10x = 19 + 0 -41 + 10x = 19 Add '41' to each side of the equation. -41 + 41 + 10x = 19 + 41 Combine like terms: -41 + 41 = 0 0 + 10x = 19 + 41 10x = 19 + 41 Combine like terms: 19 + 41 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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