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Simplifying 3[3 + -1(-2x + -2)] = 54x + 63 Reorder the terms: 3[3 + -1(-2 + -2x)] = 54x + 63 3[3 + (-2 * -1 + -2x * -1)] = 54x + 63 3[3 + (2 + 2x)] = 54x + 63 Combine like terms: 3 + 2 = 5 3[5 + 2x] = 54x + 63 [5 * 3 + 2x * 3] = 54x + 63 [15 + 6x] = 54x + 63 Reorder the terms: 15 + 6x = 63 + 54x Solving 15 + 6x = 63 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 15 + 6x + -54x = 63 + 54x + -54x Combine like terms: 6x + -54x = -48x 15 + -48x = 63 + 54x + -54x Combine like terms: 54x + -54x = 0 15 + -48x = 63 + 0 15 + -48x = 63 Add '-15' to each side of the equation. 15 + -15 + -48x = 63 + -15 Combine like terms: 15 + -15 = 0 0 + -48x = 63 + -15 -48x = 63 + -15 Combine like terms: 63 + -15 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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