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Simplifying 5(3x + -2) + -2 = 5(x + -2) + 78 Reorder the terms: 5(-2 + 3x) + -2 = 5(x + -2) + 78 (-2 * 5 + 3x * 5) + -2 = 5(x + -2) + 78 (-10 + 15x) + -2 = 5(x + -2) + 78 Reorder the terms: -10 + -2 + 15x = 5(x + -2) + 78 Combine like terms: -10 + -2 = -12 -12 + 15x = 5(x + -2) + 78 Reorder the terms: -12 + 15x = 5(-2 + x) + 78 -12 + 15x = (-2 * 5 + x * 5) + 78 -12 + 15x = (-10 + 5x) + 78 Reorder the terms: -12 + 15x = -10 + 78 + 5x Combine like terms: -10 + 78 = 68 -12 + 15x = 68 + 5x Solving -12 + 15x = 68 + 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. -12 + 15x + -5x = 68 + 5x + -5x Combine like terms: 15x + -5x = 10x -12 + 10x = 68 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 10x = 68 + 0 -12 + 10x = 68 Add '12' to each side of the equation. -12 + 12 + 10x = 68 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 68 + 12 10x = 68 + 12 Combine like terms: 68 + 12 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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