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Simplifying 5(6x + -8) + -4(x + 2) = 3x + 194 + x Reorder the terms: 5(-8 + 6x) + -4(x + 2) = 3x + 194 + x (-8 * 5 + 6x * 5) + -4(x + 2) = 3x + 194 + x (-40 + 30x) + -4(x + 2) = 3x + 194 + x Reorder the terms: -40 + 30x + -4(2 + x) = 3x + 194 + x -40 + 30x + (2 * -4 + x * -4) = 3x + 194 + x -40 + 30x + (-8 + -4x) = 3x + 194 + x Reorder the terms: -40 + -8 + 30x + -4x = 3x + 194 + x Combine like terms: -40 + -8 = -48 -48 + 30x + -4x = 3x + 194 + x Combine like terms: 30x + -4x = 26x -48 + 26x = 3x + 194 + x Reorder the terms: -48 + 26x = 194 + 3x + x Combine like terms: 3x + x = 4x -48 + 26x = 194 + 4x Solving -48 + 26x = 194 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -48 + 26x + -4x = 194 + 4x + -4x Combine like terms: 26x + -4x = 22x -48 + 22x = 194 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + 22x = 194 + 0 -48 + 22x = 194 Add '48' to each side of the equation. -48 + 48 + 22x = 194 + 48 Combine like terms: -48 + 48 = 0 0 + 22x = 194 + 48 22x = 194 + 48 Combine like terms: 194 + 48 = 242 22x = 242 Divide each side by '22'. x = 11 Simplifying x = 11
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