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Simplifying 0.5x + -6 + 0.6x = 1.16x + 3 Reorder the terms: -6 + 0.5x + 0.6x = 1.16x + 3 Combine like terms: 0.5x + 0.6x = 1.1x -6 + 1.1x = 1.16x + 3 Reorder the terms: -6 + 1.1x = 3 + 1.16x Solving -6 + 1.1x = 3 + 1.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.16x' to each side of the equation. -6 + 1.1x + -1.16x = 3 + 1.16x + -1.16x Combine like terms: 1.1x + -1.16x = -0.06x -6 + -0.06x = 3 + 1.16x + -1.16x Combine like terms: 1.16x + -1.16x = 0.00 -6 + -0.06x = 3 + 0.00 -6 + -0.06x = 3 Add '6' to each side of the equation. -6 + 6 + -0.06x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -0.06x = 3 + 6 -0.06x = 3 + 6 Combine like terms: 3 + 6 = 9 -0.06x = 9 Divide each side by '-0.06'. x = -150 Simplifying x = -150
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