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Simplifying x + -7(2x + 1) = 2(6 + -5x) * 13 Reorder the terms: x + -7(1 + 2x) = 2(6 + -5x) * 13 x + (1 * -7 + 2x * -7) = 2(6 + -5x) * 13 x + (-7 + -14x) = 2(6 + -5x) * 13 Reorder the terms: -7 + x + -14x = 2(6 + -5x) * 13 Combine like terms: x + -14x = -13x -7 + -13x = 2(6 + -5x) * 13 Reorder the terms for easier multiplication: -7 + -13x = 2 * 13(6 + -5x) Multiply 2 * 13 -7 + -13x = 26(6 + -5x) -7 + -13x = (6 * 26 + -5x * 26) -7 + -13x = (156 + -130x) Solving -7 + -13x = 156 + -130x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '130x' to each side of the equation. -7 + -13x + 130x = 156 + -130x + 130x Combine like terms: -13x + 130x = 117x -7 + 117x = 156 + -130x + 130x Combine like terms: -130x + 130x = 0 -7 + 117x = 156 + 0 -7 + 117x = 156 Add '7' to each side of the equation. -7 + 7 + 117x = 156 + 7 Combine like terms: -7 + 7 = 0 0 + 117x = 156 + 7 117x = 156 + 7 Combine like terms: 156 + 7 = 163 117x = 163 Divide each side by '117'. x = 1.393162393 Simplifying x = 1.393162393
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