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Simplifying 10(3x + -1) = 8(3x + 1) + 42 Reorder the terms: 10(-1 + 3x) = 8(3x + 1) + 42 (-1 * 10 + 3x * 10) = 8(3x + 1) + 42 (-10 + 30x) = 8(3x + 1) + 42 Reorder the terms: -10 + 30x = 8(1 + 3x) + 42 -10 + 30x = (1 * 8 + 3x * 8) + 42 -10 + 30x = (8 + 24x) + 42 Reorder the terms: -10 + 30x = 8 + 42 + 24x Combine like terms: 8 + 42 = 50 -10 + 30x = 50 + 24x Solving -10 + 30x = 50 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + 30x + -24x = 50 + 24x + -24x Combine like terms: 30x + -24x = 6x -10 + 6x = 50 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + 6x = 50 + 0 -10 + 6x = 50 Add '10' to each side of the equation. -10 + 10 + 6x = 50 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 50 + 10 6x = 50 + 10 Combine like terms: 50 + 10 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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