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Simplifying 5[2 + -1(2x + -4)] = 2(-3x + 5) Reorder the terms: 5[2 + -1(-4 + 2x)] = 2(-3x + 5) 5[2 + (-4 * -1 + 2x * -1)] = 2(-3x + 5) 5[2 + (4 + -2x)] = 2(-3x + 5) Combine like terms: 2 + 4 = 6 5[6 + -2x] = 2(-3x + 5) [6 * 5 + -2x * 5] = 2(-3x + 5) [30 + -10x] = 2(-3x + 5) Reorder the terms: 30 + -10x = 2(5 + -3x) 30 + -10x = (5 * 2 + -3x * 2) 30 + -10x = (10 + -6x) Solving 30 + -10x = 10 + -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 = 10 + -6x + 6x Combine like terms: -10x + 6x = -4x 30 + -4x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + -4x = 10 + 0 30 + -4x = 10 Add '-30' to each side of the equation. 30 + -30 + -4x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 10 + -30 -4x = 10 + -30 Combine like terms: 10 + -30 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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