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Simplifying 10(3x + -1) = 8(3x + 1) + 12 Reorder the terms: 10(-1 + 3x) = 8(3x + 1) + 12 (-1 * 10 + 3x * 10) = 8(3x + 1) + 12 (-10 + 30x) = 8(3x + 1) + 12 Reorder the terms: -10 + 30x = 8(1 + 3x) + 12 -10 + 30x = (1 * 8 + 3x * 8) + 12 -10 + 30x = (8 + 24x) + 12 Reorder the terms: -10 + 30x = 8 + 12 + 24x Combine like terms: 8 + 12 = 20 -10 + 30x = 20 + 24x Solving -10 + 30x = 20 + 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 = 20 + 24x + -24x Combine like terms: 30x + -24x = 6x -10 + 6x = 20 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + 6x = 20 + 0 -10 + 6x = 20 Add '10' to each side of the equation. -10 + 10 + 6x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 20 + 10 6x = 20 + 10 Combine like terms: 20 + 10 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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