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Simplifying 79 + -4(x + 10) = 4(x + 6) + x Reorder the terms: 79 + -4(10 + x) = 4(x + 6) + x 79 + (10 * -4 + x * -4) = 4(x + 6) + x 79 + (-40 + -4x) = 4(x + 6) + x Combine like terms: 79 + -40 = 39 39 + -4x = 4(x + 6) + x Reorder the terms: 39 + -4x = 4(6 + x) + x 39 + -4x = (6 * 4 + x * 4) + x 39 + -4x = (24 + 4x) + x Combine like terms: 4x + x = 5x 39 + -4x = 24 + 5x Solving 39 + -4x = 24 + 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. 39 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x 39 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + -9x = 24 + 0 39 + -9x = 24 Add '-39' to each side of the equation. 39 + -39 + -9x = 24 + -39 Combine like terms: 39 + -39 = 0 0 + -9x = 24 + -39 -9x = 24 + -39 Combine like terms: 24 + -39 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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