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Simplifying 5[2 + -1(2x + -4)] = 2(3x + -3) Reorder the terms: 5[2 + -1(-4 + 2x)] = 2(3x + -3) 5[2 + (-4 * -1 + 2x * -1)] = 2(3x + -3) 5[2 + (4 + -2x)] = 2(3x + -3) Combine like terms: 2 + 4 = 6 5[6 + -2x] = 2(3x + -3) [6 * 5 + -2x * 5] = 2(3x + -3) [30 + -10x] = 2(3x + -3) Reorder the terms: 30 + -10x = 2(-3 + 3x) 30 + -10x = (-3 * 2 + 3x * 2) 30 + -10x = (-6 + 6x) Solving 30 + -10x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + -10x + -6x = -6 + 6x + -6x Combine like terms: -10x + -6x = -16x 30 + -16x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -16x = -6 + 0 30 + -16x = -6 Add '-30' to each side of the equation. 30 + -30 + -16x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = -6 + -30 -16x = -6 + -30 Combine like terms: -6 + -30 = -36 -16x = -36 Divide each side by '-16'. x = 2.25 Simplifying x = 2.25
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