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Simplifying x + 1.66 = 0.5(6x + -4) Reorder the terms: 1.66 + x = 0.5(6x + -4) Reorder the terms: 1.66 + x = 0.5(-4 + 6x) 1.66 + x = (-4 * 0.5 + 6x * 0.5) 1.66 + x = (-2 + 3x) Solving 1.66 + x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1.66 + x + -3x = -2 + 3x + -3x Combine like terms: x + -3x = -2x 1.66 + -2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 1.66 + -2x = -2 + 0 1.66 + -2x = -2 Add '-1.66' to each side of the equation. 1.66 + -1.66 + -2x = -2 + -1.66 Combine like terms: 1.66 + -1.66 = 0.00 0.00 + -2x = -2 + -1.66 -2x = -2 + -1.66 Combine like terms: -2 + -1.66 = -3.66 -2x = -3.66 Divide each side by '-2'. x = 1.83 Simplifying x = 1.83
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