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Simplifying 7 + 2(x + -5) = 2[7 + -4(x + 2)] Reorder the terms: 7 + 2(-5 + x) = 2[7 + -4(x + 2)] 7 + (-5 * 2 + x * 2) = 2[7 + -4(x + 2)] 7 + (-10 + 2x) = 2[7 + -4(x + 2)] Combine like terms: 7 + -10 = -3 -3 + 2x = 2[7 + -4(x + 2)] Reorder the terms: -3 + 2x = 2[7 + -4(2 + x)] -3 + 2x = 2[7 + (2 * -4 + x * -4)] -3 + 2x = 2[7 + (-8 + -4x)] Combine like terms: 7 + -8 = -1 -3 + 2x = 2[-1 + -4x] -3 + 2x = [-1 * 2 + -4x * 2] -3 + 2x = [-2 + -8x] Solving -3 + 2x = -2 + -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. -3 + 2x + 8x = -2 + -8x + 8x Combine like terms: 2x + 8x = 10x -3 + 10x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 10x = -2 + 0 -3 + 10x = -2 Add '3' to each side of the equation. -3 + 3 + 10x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = -2 + 3 10x = -2 + 3 Combine like terms: -2 + 3 = 1 10x = 1 Divide each side by '10'. x = 0.1 Simplifying x = 0.1
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