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Simplifying 5 + 2(x + -3) = 2[5 + -4(x + 2)] Reorder the terms: 5 + 2(-3 + x) = 2[5 + -4(x + 2)] 5 + (-3 * 2 + x * 2) = 2[5 + -4(x + 2)] 5 + (-6 + 2x) = 2[5 + -4(x + 2)] Combine like terms: 5 + -6 = -1 -1 + 2x = 2[5 + -4(x + 2)] Reorder the terms: -1 + 2x = 2[5 + -4(2 + x)] -1 + 2x = 2[5 + (2 * -4 + x * -4)] -1 + 2x = 2[5 + (-8 + -4x)] Combine like terms: 5 + -8 = -3 -1 + 2x = 2[-3 + -4x] -1 + 2x = [-3 * 2 + -4x * 2] -1 + 2x = [-6 + -8x] Solving -1 + 2x = -6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + 2x + 8x = -6 + -8x + 8x Combine like terms: 2x + 8x = 10x -1 + 10x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 10x = -6 + 0 -1 + 10x = -6 Add '1' to each side of the equation. -1 + 1 + 10x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = -6 + 1 10x = -6 + 1 Combine like terms: -6 + 1 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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