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Simplifying 5x + -2(2x + -7) = 2(3x + -1) * 7 Reorder the terms: 5x + -2(-7 + 2x) = 2(3x + -1) * 7 5x + (-7 * -2 + 2x * -2) = 2(3x + -1) * 7 5x + (14 + -4x) = 2(3x + -1) * 7 Reorder the terms: 14 + 5x + -4x = 2(3x + -1) * 7 Combine like terms: 5x + -4x = 1x 14 + 1x = 2(3x + -1) * 7 Reorder the terms: 14 + 1x = 2(-1 + 3x) * 7 Reorder the terms for easier multiplication: 14 + 1x = 2 * 7(-1 + 3x) Multiply 2 * 7 14 + 1x = 14(-1 + 3x) 14 + 1x = (-1 * 14 + 3x * 14) 14 + 1x = (-14 + 42x) Solving 14 + 1x = -14 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 14 + 1x + -42x = -14 + 42x + -42x Combine like terms: 1x + -42x = -41x 14 + -41x = -14 + 42x + -42x Combine like terms: 42x + -42x = 0 14 + -41x = -14 + 0 14 + -41x = -14 Add '-14' to each side of the equation. 14 + -14 + -41x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -41x = -14 + -14 -41x = -14 + -14 Combine like terms: -14 + -14 = -28 -41x = -28 Divide each side by '-41'. x = 0.6829268293 Simplifying x = 0.6829268293
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