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Simplifying 6.1 + -0.25(x + 8) = 0.7 + 0.3(x + -3) Reorder the terms: 6.1 + -0.25(8 + x) = 0.7 + 0.3(x + -3) 6.1 + (8 * -0.25 + x * -0.25) = 0.7 + 0.3(x + -3) 6.1 + (-2 + -0.25x) = 0.7 + 0.3(x + -3) Combine like terms: 6.1 + -2 = 4.1 4.1 + -0.25x = 0.7 + 0.3(x + -3) Reorder the terms: 4.1 + -0.25x = 0.7 + 0.3(-3 + x) 4.1 + -0.25x = 0.7 + (-3 * 0.3 + x * 0.3) 4.1 + -0.25x = 0.7 + (-0.9 + 0.3x) Combine like terms: 0.7 + -0.9 = -0.2 4.1 + -0.25x = -0.2 + 0.3x Solving 4.1 + -0.25x = -0.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 4.1 + -0.25x + -0.3x = -0.2 + 0.3x + -0.3x Combine like terms: -0.25x + -0.3x = -0.55x 4.1 + -0.55x = -0.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 4.1 + -0.55x = -0.2 + 0.0 4.1 + -0.55x = -0.2 Add '-4.1' to each side of the equation. 4.1 + -4.1 + -0.55x = -0.2 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + -0.55x = -0.2 + -4.1 -0.55x = -0.2 + -4.1 Combine like terms: -0.2 + -4.1 = -4.3 -0.55x = -4.3 Divide each side by '-0.55'. x = 7.818181818 Simplifying x = 7.818181818
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