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Simplifying 4[5 + 3(6x + -9)] = 2x + 402 Reorder the terms: 4[5 + 3(-9 + 6x)] = 2x + 402 4[5 + (-9 * 3 + 6x * 3)] = 2x + 402 4[5 + (-27 + 18x)] = 2x + 402 Combine like terms: 5 + -27 = -22 4[-22 + 18x] = 2x + 402 [-22 * 4 + 18x * 4] = 2x + 402 [-88 + 72x] = 2x + 402 Reorder the terms: -88 + 72x = 402 + 2x Solving -88 + 72x = 402 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -88 + 72x + -2x = 402 + 2x + -2x Combine like terms: 72x + -2x = 70x -88 + 70x = 402 + 2x + -2x Combine like terms: 2x + -2x = 0 -88 + 70x = 402 + 0 -88 + 70x = 402 Add '88' to each side of the equation. -88 + 88 + 70x = 402 + 88 Combine like terms: -88 + 88 = 0 0 + 70x = 402 + 88 70x = 402 + 88 Combine like terms: 402 + 88 = 490 70x = 490 Divide each side by '70'. x = 7 Simplifying x = 7
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