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Simplifying -7(x + 4) + 13(x + -6) = 18 Reorder the terms: -7(4 + x) + 13(x + -6) = 18 (4 * -7 + x * -7) + 13(x + -6) = 18 (-28 + -7x) + 13(x + -6) = 18 Reorder the terms: -28 + -7x + 13(-6 + x) = 18 -28 + -7x + (-6 * 13 + x * 13) = 18 -28 + -7x + (-78 + 13x) = 18 Reorder the terms: -28 + -78 + -7x + 13x = 18 Combine like terms: -28 + -78 = -106 -106 + -7x + 13x = 18 Combine like terms: -7x + 13x = 6x -106 + 6x = 18 Solving -106 + 6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 6x = 18 + 106 Combine like terms: -106 + 106 = 0 0 + 6x = 18 + 106 6x = 18 + 106 Combine like terms: 18 + 106 = 124 6x = 124 Divide each side by '6'. x = 20.66666667 Simplifying x = 20.66666667
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