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Simplifying 6(3x + 13) + 6(x + -13) = 6(19) Reorder the terms: 6(13 + 3x) + 6(x + -13) = 6(19) (13 * 6 + 3x * 6) + 6(x + -13) = 6(19) (78 + 18x) + 6(x + -13) = 6(19) Reorder the terms: 78 + 18x + 6(-13 + x) = 6(19) 78 + 18x + (-13 * 6 + x * 6) = 6(19) 78 + 18x + (-78 + 6x) = 6(19) Reorder the terms: 78 + -78 + 18x + 6x = 6(19) Combine like terms: 78 + -78 = 0 0 + 18x + 6x = 6(19) 18x + 6x = 6(19) Combine like terms: 18x + 6x = 24x 24x = 6(19) Multiply 6 * 19 24x = 114 Solving 24x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '24'. x = 4.75 Simplifying x = 4.75
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