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Simplifying 6(4x + -1) * 2 + 5 = -17(4x + -1) Reorder the terms: 6(-1 + 4x) * 2 + 5 = -17(4x + -1) Reorder the terms for easier multiplication: 6 * 2(-1 + 4x) + 5 = -17(4x + -1) Multiply 6 * 2 12(-1 + 4x) + 5 = -17(4x + -1) (-1 * 12 + 4x * 12) + 5 = -17(4x + -1) (-12 + 48x) + 5 = -17(4x + -1) Reorder the terms: -12 + 5 + 48x = -17(4x + -1) Combine like terms: -12 + 5 = -7 -7 + 48x = -17(4x + -1) Reorder the terms: -7 + 48x = -17(-1 + 4x) -7 + 48x = (-1 * -17 + 4x * -17) -7 + 48x = (17 + -68x) Solving -7 + 48x = 17 + -68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68x' to each side of the equation. -7 + 48x + 68x = 17 + -68x + 68x Combine like terms: 48x + 68x = 116x -7 + 116x = 17 + -68x + 68x Combine like terms: -68x + 68x = 0 -7 + 116x = 17 + 0 -7 + 116x = 17 Add '7' to each side of the equation. -7 + 7 + 116x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 116x = 17 + 7 116x = 17 + 7 Combine like terms: 17 + 7 = 24 116x = 24 Divide each side by '116'. x = 0.2068965517 Simplifying x = 0.2068965517
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