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Simplifying 0.2(x + 5) = 4 + 2(0.3x + 0.3) Reorder the terms: 0.2(5 + x) = 4 + 2(0.3x + 0.3) (5 * 0.2 + x * 0.2) = 4 + 2(0.3x + 0.3) (1 + 0.2x) = 4 + 2(0.3x + 0.3) Reorder the terms: 1 + 0.2x = 4 + 2(0.3 + 0.3x) 1 + 0.2x = 4 + (0.3 * 2 + 0.3x * 2) 1 + 0.2x = 4 + (0.6 + 0.6x) Combine like terms: 4 + 0.6 = 4.6 1 + 0.2x = 4.6 + 0.6x Solving 1 + 0.2x = 4.6 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 1 + 0.2x + -0.6x = 4.6 + 0.6x + -0.6x Combine like terms: 0.2x + -0.6x = -0.4x 1 + -0.4x = 4.6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1 + -0.4x = 4.6 + 0.0 1 + -0.4x = 4.6 Add '-1' to each side of the equation. 1 + -1 + -0.4x = 4.6 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4x = 4.6 + -1 -0.4x = 4.6 + -1 Combine like terms: 4.6 + -1 = 3.6 -0.4x = 3.6 Divide each side by '-0.4'. x = -9 Simplifying x = -9
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