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Simplifying 2[5 + -3x] = 2[2x + 1] [5 * 2 + -3x * 2] = 2[2x + 1] [10 + -6x] = 2[2x + 1] Reorder the terms: 10 + -6x = 2[1 + 2x] 10 + -6x = [1 * 2 + 2x * 2] 10 + -6x = [2 + 4x] Solving 10 + -6x = 2 + 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. 10 + -6x + -4x = 2 + 4x + -4x Combine like terms: -6x + -4x = -10x 10 + -10x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -10x = 2 + 0 10 + -10x = 2 Add '-10' to each side of the equation. 10 + -10 + -10x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 2 + -10 -10x = 2 + -10 Combine like terms: 2 + -10 = -8 -10x = -8 Divide each side by '-10'. x = 0.8 Simplifying x = 0.8
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