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Simplifying 6(x + -13) = 5(x + 4) Reorder the terms: 6(-13 + x) = 5(x + 4) (-13 * 6 + x * 6) = 5(x + 4) (-78 + 6x) = 5(x + 4) Reorder the terms: -78 + 6x = 5(4 + x) -78 + 6x = (4 * 5 + x * 5) -78 + 6x = (20 + 5x) Solving -78 + 6x = 20 + 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. -78 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x -78 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -78 + 1x = 20 + 0 -78 + 1x = 20 Add '78' to each side of the equation. -78 + 78 + 1x = 20 + 78 Combine like terms: -78 + 78 = 0 0 + 1x = 20 + 78 1x = 20 + 78 Combine like terms: 20 + 78 = 98 1x = 98 Divide each side by '1'. x = 98 Simplifying x = 98
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