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Simplifying 5(x + -7) * 2 + -13(x + -7) + -6 = 0 Reorder the terms: 5(-7 + x) * 2 + -13(x + -7) + -6 = 0 Reorder the terms for easier multiplication: 5 * 2(-7 + x) + -13(x + -7) + -6 = 0 Multiply 5 * 2 10(-7 + x) + -13(x + -7) + -6 = 0 (-7 * 10 + x * 10) + -13(x + -7) + -6 = 0 (-70 + 10x) + -13(x + -7) + -6 = 0 Reorder the terms: -70 + 10x + -13(-7 + x) + -6 = 0 -70 + 10x + (-7 * -13 + x * -13) + -6 = 0 -70 + 10x + (91 + -13x) + -6 = 0 Reorder the terms: -70 + 91 + -6 + 10x + -13x = 0 Combine like terms: -70 + 91 = 21 21 + -6 + 10x + -13x = 0 Combine like terms: 21 + -6 = 15 15 + 10x + -13x = 0 Combine like terms: 10x + -13x = -3x 15 + -3x = 0 Solving 15 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -3x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 0 + -15 -3x = 0 + -15 Combine like terms: 0 + -15 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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