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Simplifying 2.8(5 + -1x) = -0.5(6 + -1x) (5 * 2.8 + -1x * 2.8) = -0.5(6 + -1x) (14 + -2.8x) = -0.5(6 + -1x) 14 + -2.8x = (6 * -0.5 + -1x * -0.5) 14 + -2.8x = (-3 + 0.5x) Solving 14 + -2.8x = -3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 14 + -2.8x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: -2.8x + -0.5x = -3.3x 14 + -3.3x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 14 + -3.3x = -3 + 0.0 14 + -3.3x = -3 Add '-14' to each side of the equation. 14 + -14 + -3.3x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + -3.3x = -3 + -14 -3.3x = -3 + -14 Combine like terms: -3 + -14 = -17 -3.3x = -17 Divide each side by '-3.3'. x = 5.151515152 Simplifying x = 5.151515152
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