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Simplifying 5(3x + -8) = 10x + -13 Reorder the terms: 5(-8 + 3x) = 10x + -13 (-8 * 5 + 3x * 5) = 10x + -13 (-40 + 15x) = 10x + -13 Reorder the terms: -40 + 15x = -13 + 10x Solving -40 + 15x = -13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + 15x + -10x = -13 + 10x + -10x Combine like terms: 15x + -10x = 5x -40 + 5x = -13 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + 5x = -13 + 0 -40 + 5x = -13 Add '40' to each side of the equation. -40 + 40 + 5x = -13 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -13 + 40 5x = -13 + 40 Combine like terms: -13 + 40 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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