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Simplifying 5(4x + -8) + -2 = 5(x + -3) + 78 Reorder the terms: 5(-8 + 4x) + -2 = 5(x + -3) + 78 (-8 * 5 + 4x * 5) + -2 = 5(x + -3) + 78 (-40 + 20x) + -2 = 5(x + -3) + 78 Reorder the terms: -40 + -2 + 20x = 5(x + -3) + 78 Combine like terms: -40 + -2 = -42 -42 + 20x = 5(x + -3) + 78 Reorder the terms: -42 + 20x = 5(-3 + x) + 78 -42 + 20x = (-3 * 5 + x * 5) + 78 -42 + 20x = (-15 + 5x) + 78 Reorder the terms: -42 + 20x = -15 + 78 + 5x Combine like terms: -15 + 78 = 63 -42 + 20x = 63 + 5x Solving -42 + 20x = 63 + 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. -42 + 20x + -5x = 63 + 5x + -5x Combine like terms: 20x + -5x = 15x -42 + 15x = 63 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 15x = 63 + 0 -42 + 15x = 63 Add '42' to each side of the equation. -42 + 42 + 15x = 63 + 42 Combine like terms: -42 + 42 = 0 0 + 15x = 63 + 42 15x = 63 + 42 Combine like terms: 63 + 42 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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