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Simplifying 8x + -4(x + -6) = 2(x + -2) + 5 Reorder the terms: 8x + -4(-6 + x) = 2(x + -2) + 5 8x + (-6 * -4 + x * -4) = 2(x + -2) + 5 8x + (24 + -4x) = 2(x + -2) + 5 Reorder the terms: 24 + 8x + -4x = 2(x + -2) + 5 Combine like terms: 8x + -4x = 4x 24 + 4x = 2(x + -2) + 5 Reorder the terms: 24 + 4x = 2(-2 + x) + 5 24 + 4x = (-2 * 2 + x * 2) + 5 24 + 4x = (-4 + 2x) + 5 Reorder the terms: 24 + 4x = -4 + 5 + 2x Combine like terms: -4 + 5 = 1 24 + 4x = 1 + 2x Solving 24 + 4x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x 24 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 2x = 1 + 0 24 + 2x = 1 Add '-24' to each side of the equation. 24 + -24 + 2x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 1 + -24 2x = 1 + -24 Combine like terms: 1 + -24 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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