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Simplifying 5(x + -8) + 4(x + -6) + (x + -2) = 5x + -1 Reorder the terms: 5(-8 + x) + 4(x + -6) + (x + -2) = 5x + -1 (-8 * 5 + x * 5) + 4(x + -6) + (x + -2) = 5x + -1 (-40 + 5x) + 4(x + -6) + (x + -2) = 5x + -1 Reorder the terms: -40 + 5x + 4(-6 + x) + (x + -2) = 5x + -1 -40 + 5x + (-6 * 4 + x * 4) + (x + -2) = 5x + -1 -40 + 5x + (-24 + 4x) + (x + -2) = 5x + -1 Reorder the terms: -40 + 5x + -24 + 4x + (-2 + x) = 5x + -1 Remove parenthesis around (-2 + x) -40 + 5x + -24 + 4x + -2 + x = 5x + -1 Reorder the terms: -40 + -24 + -2 + 5x + 4x + x = 5x + -1 Combine like terms: -40 + -24 = -64 -64 + -2 + 5x + 4x + x = 5x + -1 Combine like terms: -64 + -2 = -66 -66 + 5x + 4x + x = 5x + -1 Combine like terms: 5x + 4x = 9x -66 + 9x + x = 5x + -1 Combine like terms: 9x + x = 10x -66 + 10x = 5x + -1 Reorder the terms: -66 + 10x = -1 + 5x Solving -66 + 10x = -1 + 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. -66 + 10x + -5x = -1 + 5x + -5x Combine like terms: 10x + -5x = 5x -66 + 5x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -66 + 5x = -1 + 0 -66 + 5x = -1 Add '66' to each side of the equation. -66 + 66 + 5x = -1 + 66 Combine like terms: -66 + 66 = 0 0 + 5x = -1 + 66 5x = -1 + 66 Combine like terms: -1 + 66 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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