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Simplifying 0.5(8x + 2) + -1(x + -6) = 0 Reorder the terms: 0.5(2 + 8x) + -1(x + -6) = 0 (2 * 0.5 + 8x * 0.5) + -1(x + -6) = 0 (1 + 4x) + -1(x + -6) = 0 Reorder the terms: 1 + 4x + -1(-6 + x) = 0 1 + 4x + (-6 * -1 + x * -1) = 0 1 + 4x + (6 + -1x) = 0 Reorder the terms: 1 + 6 + 4x + -1x = 0 Combine like terms: 1 + 6 = 7 7 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x 7 + 3x = 0 Solving 7 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333
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