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Simplifying 3[4(3x + 1) + -1(10x + -9)] = 7x + 9 Reorder the terms: 3[4(1 + 3x) + -1(10x + -9)] = 7x + 9 3[(1 * 4 + 3x * 4) + -1(10x + -9)] = 7x + 9 3[(4 + 12x) + -1(10x + -9)] = 7x + 9 Reorder the terms: 3[4 + 12x + -1(-9 + 10x)] = 7x + 9 3[4 + 12x + (-9 * -1 + 10x * -1)] = 7x + 9 3[4 + 12x + (9 + -10x)] = 7x + 9 Reorder the terms: 3[4 + 9 + 12x + -10x] = 7x + 9 Combine like terms: 4 + 9 = 13 3[13 + 12x + -10x] = 7x + 9 Combine like terms: 12x + -10x = 2x 3[13 + 2x] = 7x + 9 [13 * 3 + 2x * 3] = 7x + 9 [39 + 6x] = 7x + 9 Reorder the terms: 39 + 6x = 9 + 7x Solving 39 + 6x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 39 + 6x + -7x = 9 + 7x + -7x Combine like terms: 6x + -7x = -1x 39 + -1x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 39 + -1x = 9 + 0 39 + -1x = 9 Add '-39' to each side of the equation. 39 + -39 + -1x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 9 + -39 -1x = 9 + -39 Combine like terms: 9 + -39 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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