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Simplifying 3(4x + -8) + 17x = 16x + -42 Reorder the terms: 3(-8 + 4x) + 17x = 16x + -42 (-8 * 3 + 4x * 3) + 17x = 16x + -42 (-24 + 12x) + 17x = 16x + -42 Combine like terms: 12x + 17x = 29x -24 + 29x = 16x + -42 Reorder the terms: -24 + 29x = -42 + 16x Solving -24 + 29x = -42 + 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. -24 + 29x + -16x = -42 + 16x + -16x Combine like terms: 29x + -16x = 13x -24 + 13x = -42 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + 13x = -42 + 0 -24 + 13x = -42 Add '24' to each side of the equation. -24 + 24 + 13x = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = -42 + 24 13x = -42 + 24 Combine like terms: -42 + 24 = -18 13x = -18 Divide each side by '13'. x = -1.384615385 Simplifying x = -1.384615385
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