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Simplifying 13(x + -6) = 7x + -36 Reorder the terms: 13(-6 + x) = 7x + -36 (-6 * 13 + x * 13) = 7x + -36 (-78 + 13x) = 7x + -36 Reorder the terms: -78 + 13x = -36 + 7x Solving -78 + 13x = -36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -78 + 13x + -7x = -36 + 7x + -7x Combine like terms: 13x + -7x = 6x -78 + 6x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -78 + 6x = -36 + 0 -78 + 6x = -36 Add '78' to each side of the equation. -78 + 78 + 6x = -36 + 78 Combine like terms: -78 + 78 = 0 0 + 6x = -36 + 78 6x = -36 + 78 Combine like terms: -36 + 78 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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