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Simplifying 0.5x + -7 = 0.75x + -0.83 + -0.255x + -6.17 Reorder the terms: -7 + 0.5x = 0.75x + -0.83 + -0.255x + -6.17 Reorder the terms: -7 + 0.5x = -0.83 + -6.17 + 0.75x + -0.255x Combine like terms: -0.83 + -6.17 = -7 -7 + 0.5x = -7 + 0.75x + -0.255x Combine like terms: 0.75x + -0.255x = 0.495x -7 + 0.5x = -7 + 0.495x Add '7' to each side of the equation. -7 + 7 + 0.5x = -7 + 7 + 0.495x Combine like terms: -7 + 7 = 0 0 + 0.5x = -7 + 7 + 0.495x 0.5x = -7 + 7 + 0.495x Combine like terms: -7 + 7 = 0 0.5x = 0 + 0.495x 0.5x = 0.495x Solving 0.5x = 0.495x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.495x' to each side of the equation. 0.5x + -0.495x = 0.495x + -0.495x Combine like terms: 0.5x + -0.495x = 0.005x 0.005x = 0.495x + -0.495x Combine like terms: 0.495x + -0.495x = 0.000 0.005x = 0.000 Divide each side by '0.005'. x = 0 Simplifying x = 0
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