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Simplifying 13(4x + -20) = 5x + -6 Reorder the terms: 13(-20 + 4x) = 5x + -6 (-20 * 13 + 4x * 13) = 5x + -6 (-260 + 52x) = 5x + -6 Reorder the terms: -260 + 52x = -6 + 5x Solving -260 + 52x = -6 + 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. -260 + 52x + -5x = -6 + 5x + -5x Combine like terms: 52x + -5x = 47x -260 + 47x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -260 + 47x = -6 + 0 -260 + 47x = -6 Add '260' to each side of the equation. -260 + 260 + 47x = -6 + 260 Combine like terms: -260 + 260 = 0 0 + 47x = -6 + 260 47x = -6 + 260 Combine like terms: -6 + 260 = 254 47x = 254 Divide each side by '47'. x = 5.404255319 Simplifying x = 5.404255319
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