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Simplifying 2(x + -4) + 0.5(2 + 8x) + -8 = 0 Reorder the terms: 2(-4 + x) + 0.5(2 + 8x) + -8 = 0 (-4 * 2 + x * 2) + 0.5(2 + 8x) + -8 = 0 (-8 + 2x) + 0.5(2 + 8x) + -8 = 0 -8 + 2x + (2 * 0.5 + 8x * 0.5) + -8 = 0 -8 + 2x + (1 + 4x) + -8 = 0 Reorder the terms: -8 + 1 + -8 + 2x + 4x = 0 Combine like terms: -8 + 1 = -7 -7 + -8 + 2x + 4x = 0 Combine like terms: -7 + -8 = -15 -15 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x -15 + 6x = 0 Solving -15 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 0 + 15 6x = 0 + 15 Combine like terms: 0 + 15 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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