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Simplifying 6.1 + -0.25(x + 8) = 0.7x + 0.3(x + -3) Reorder the terms: 6.1 + -0.25(8 + x) = 0.7x + 0.3(x + -3) 6.1 + (8 * -0.25 + x * -0.25) = 0.7x + 0.3(x + -3) 6.1 + (-2 + -0.25x) = 0.7x + 0.3(x + -3) Combine like terms: 6.1 + -2 = 4.1 4.1 + -0.25x = 0.7x + 0.3(x + -3) Reorder the terms: 4.1 + -0.25x = 0.7x + 0.3(-3 + x) 4.1 + -0.25x = 0.7x + (-3 * 0.3 + x * 0.3) 4.1 + -0.25x = 0.7x + (-0.9 + 0.3x) Reorder the terms: 4.1 + -0.25x = -0.9 + 0.7x + 0.3x Combine like terms: 0.7x + 0.3x = 1x 4.1 + -0.25x = -0.9 + 1x Solving 4.1 + -0.25x = -0.9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.1 + -0.25x + -1x = -0.9 + 1x + -1x Combine like terms: -0.25x + -1x = -1.25x 4.1 + -1.25x = -0.9 + 1x + -1x Combine like terms: 1x + -1x = 0 4.1 + -1.25x = -0.9 + 0 4.1 + -1.25x = -0.9 Add '-4.1' to each side of the equation. 4.1 + -4.1 + -1.25x = -0.9 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + -1.25x = -0.9 + -4.1 -1.25x = -0.9 + -4.1 Combine like terms: -0.9 + -4.1 = -5 -1.25x = -5 Divide each side by '-1.25'. x = 4 Simplifying x = 4
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