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Simplifying 3[5 + 6(3x + -6)] = 7x + 48 Reorder the terms: 3[5 + 6(-6 + 3x)] = 7x + 48 3[5 + (-6 * 6 + 3x * 6)] = 7x + 48 3[5 + (-36 + 18x)] = 7x + 48 Combine like terms: 5 + -36 = -31 3[-31 + 18x] = 7x + 48 [-31 * 3 + 18x * 3] = 7x + 48 [-93 + 54x] = 7x + 48 Reorder the terms: -93 + 54x = 48 + 7x Solving -93 + 54x = 48 + 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. -93 + 54x + -7x = 48 + 7x + -7x Combine like terms: 54x + -7x = 47x -93 + 47x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 -93 + 47x = 48 + 0 -93 + 47x = 48 Add '93' to each side of the equation. -93 + 93 + 47x = 48 + 93 Combine like terms: -93 + 93 = 0 0 + 47x = 48 + 93 47x = 48 + 93 Combine like terms: 48 + 93 = 141 47x = 141 Divide each side by '47'. x = 3 Simplifying x = 3
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