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Simplifying 2 * 3(5 + -4x) = 17 + 4(4x + -1) Multiply 2 * 3 6(5 + -4x) = 17 + 4(4x + -1) (5 * 6 + -4x * 6) = 17 + 4(4x + -1) (30 + -24x) = 17 + 4(4x + -1) Reorder the terms: 30 + -24x = 17 + 4(-1 + 4x) 30 + -24x = 17 + (-1 * 4 + 4x * 4) 30 + -24x = 17 + (-4 + 16x) Combine like terms: 17 + -4 = 13 30 + -24x = 13 + 16x Solving 30 + -24x = 13 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 30 + -24x + -16x = 13 + 16x + -16x Combine like terms: -24x + -16x = -40x 30 + -40x = 13 + 16x + -16x Combine like terms: 16x + -16x = 0 30 + -40x = 13 + 0 30 + -40x = 13 Add '-30' to each side of the equation. 30 + -30 + -40x = 13 + -30 Combine like terms: 30 + -30 = 0 0 + -40x = 13 + -30 -40x = 13 + -30 Combine like terms: 13 + -30 = -17 -40x = -17 Divide each side by '-40'. x = 0.425 Simplifying x = 0.425
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