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Simplifying 4(x + -10) = 13(3 + -2x) Reorder the terms: 4(-10 + x) = 13(3 + -2x) (-10 * 4 + x * 4) = 13(3 + -2x) (-40 + 4x) = 13(3 + -2x) -40 + 4x = (3 * 13 + -2x * 13) -40 + 4x = (39 + -26x) Solving -40 + 4x = 39 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -40 + 4x + 26x = 39 + -26x + 26x Combine like terms: 4x + 26x = 30x -40 + 30x = 39 + -26x + 26x Combine like terms: -26x + 26x = 0 -40 + 30x = 39 + 0 -40 + 30x = 39 Add '40' to each side of the equation. -40 + 40 + 30x = 39 + 40 Combine like terms: -40 + 40 = 0 0 + 30x = 39 + 40 30x = 39 + 40 Combine like terms: 39 + 40 = 79 30x = 79 Divide each side by '30'. x = 2.633333333 Simplifying x = 2.633333333
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