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Simplifying 4(x + -2) + x(1 + 11) = x(8 + -5) + -3(6 + x) + 2 Reorder the terms: 4(-2 + x) + x(1 + 11) = x(8 + -5) + -3(6 + x) + 2 (-2 * 4 + x * 4) + x(1 + 11) = x(8 + -5) + -3(6 + x) + 2 (-8 + 4x) + x(1 + 11) = x(8 + -5) + -3(6 + x) + 2 Combine like terms: 1 + 11 = 12 -8 + 4x + x(12) = x(8 + -5) + -3(6 + x) + 2 Reorder the terms for easier multiplication: -8 + 4x + 12x = x(8 + -5) + -3(6 + x) + 2 Combine like terms: 4x + 12x = 16x -8 + 16x = x(8 + -5) + -3(6 + x) + 2 Combine like terms: 8 + -5 = 3 -8 + 16x = x(3) + -3(6 + x) + 2 Reorder the terms for easier multiplication: -8 + 16x = 3x + -3(6 + x) + 2 -8 + 16x = 3x + (6 * -3 + x * -3) + 2 -8 + 16x = 3x + (-18 + -3x) + 2 Reorder the terms: -8 + 16x = -18 + 2 + 3x + -3x Combine like terms: -18 + 2 = -16 -8 + 16x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 16x = -16 + 0 -8 + 16x = -16 Solving -8 + 16x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 16x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = -16 + 8 16x = -16 + 8 Combine like terms: -16 + 8 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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