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Simplifying 4[5 + 3(2x + -9)] = 4x + 152 Reorder the terms: 4[5 + 3(-9 + 2x)] = 4x + 152 4[5 + (-9 * 3 + 2x * 3)] = 4x + 152 4[5 + (-27 + 6x)] = 4x + 152 Combine like terms: 5 + -27 = -22 4[-22 + 6x] = 4x + 152 [-22 * 4 + 6x * 4] = 4x + 152 [-88 + 24x] = 4x + 152 Reorder the terms: -88 + 24x = 152 + 4x Solving -88 + 24x = 152 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -88 + 24x + -4x = 152 + 4x + -4x Combine like terms: 24x + -4x = 20x -88 + 20x = 152 + 4x + -4x Combine like terms: 4x + -4x = 0 -88 + 20x = 152 + 0 -88 + 20x = 152 Add '88' to each side of the equation. -88 + 88 + 20x = 152 + 88 Combine like terms: -88 + 88 = 0 0 + 20x = 152 + 88 20x = 152 + 88 Combine like terms: 152 + 88 = 240 20x = 240 Divide each side by '20'. x = 12 Simplifying x = 12
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