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Simplifying 0.5x + -5 + 0.6x = 1.16x + 4 Reorder the terms: -5 + 0.5x + 0.6x = 1.16x + 4 Combine like terms: 0.5x + 0.6x = 1.1x -5 + 1.1x = 1.16x + 4 Reorder the terms: -5 + 1.1x = 4 + 1.16x Solving -5 + 1.1x = 4 + 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. -5 + 1.1x + -1.16x = 4 + 1.16x + -1.16x Combine like terms: 1.1x + -1.16x = -0.06x -5 + -0.06x = 4 + 1.16x + -1.16x Combine like terms: 1.16x + -1.16x = 0.00 -5 + -0.06x = 4 + 0.00 -5 + -0.06x = 4 Add '5' to each side of the equation. -5 + 5 + -0.06x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -0.06x = 4 + 5 -0.06x = 4 + 5 Combine like terms: 4 + 5 = 9 -0.06x = 9 Divide each side by '-0.06'. x = -150 Simplifying x = -150
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