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Simplifying 0.1667x + 0.5 = 2x + -4(3 + -1x) + -5 Reorder the terms: 0.5 + 0.1667x = 2x + -4(3 + -1x) + -5 0.5 + 0.1667x = 2x + (3 * -4 + -1x * -4) + -5 0.5 + 0.1667x = 2x + (-12 + 4x) + -5 Reorder the terms: 0.5 + 0.1667x = -12 + -5 + 2x + 4x Combine like terms: -12 + -5 = -17 0.5 + 0.1667x = -17 + 2x + 4x Combine like terms: 2x + 4x = 6x 0.5 + 0.1667x = -17 + 6x Solving 0.5 + 0.1667x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.5 + 0.1667x + -6x = -17 + 6x + -6x Combine like terms: 0.1667x + -6x = -5.8333x 0.5 + -5.8333x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 0.5 + -5.8333x = -17 + 0 0.5 + -5.8333x = -17 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -5.8333x = -17 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -5.8333x = -17 + -0.5 -5.8333x = -17 + -0.5 Combine like terms: -17 + -0.5 = -17.5 -5.8333x = -17.5 Divide each side by '-5.8333'. x = 3.000017143 Simplifying x = 3.000017143
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