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Simplifying 0.5(4 + -6x) + -2(0.5x + -4) = 26 (4 * 0.5 + -6x * 0.5) + -2(0.5x + -4) = 26 (2 + -3x) + -2(0.5x + -4) = 26 Reorder the terms: 2 + -3x + -2(-4 + 0.5x) = 26 2 + -3x + (-4 * -2 + 0.5x * -2) = 26 2 + -3x + (8 + -1x) = 26 Reorder the terms: 2 + 8 + -3x + -1x = 26 Combine like terms: 2 + 8 = 10 10 + -3x + -1x = 26 Combine like terms: -3x + -1x = -4x 10 + -4x = 26 Solving 10 + -4x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4x = 26 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 26 + -10 -4x = 26 + -10 Combine like terms: 26 + -10 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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