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Simplifying 2(4 + -0.3x) = x + 3(x + -2) (4 * 2 + -0.3x * 2) = x + 3(x + -2) (8 + -0.6x) = x + 3(x + -2) Reorder the terms: 8 + -0.6x = x + 3(-2 + x) 8 + -0.6x = x + (-2 * 3 + x * 3) 8 + -0.6x = x + (-6 + 3x) Reorder the terms: 8 + -0.6x = -6 + x + 3x Combine like terms: x + 3x = 4x 8 + -0.6x = -6 + 4x Solving 8 + -0.6x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -0.6x + -4x = -6 + 4x + -4x Combine like terms: -0.6x + -4x = -4.6x 8 + -4.6x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -4.6x = -6 + 0 8 + -4.6x = -6 Add '-8' to each side of the equation. 8 + -8 + -4.6x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -4.6x = -6 + -8 -4.6x = -6 + -8 Combine like terms: -6 + -8 = -14 -4.6x = -14 Divide each side by '-4.6'. x = 3.043478261 Simplifying x = 3.043478261
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