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Simplifying 0.2(x + 5) = 5 + -4(x + 5) Reorder the terms: 0.2(5 + x) = 5 + -4(x + 5) (5 * 0.2 + x * 0.2) = 5 + -4(x + 5) (1 + 0.2x) = 5 + -4(x + 5) Reorder the terms: 1 + 0.2x = 5 + -4(5 + x) 1 + 0.2x = 5 + (5 * -4 + x * -4) 1 + 0.2x = 5 + (-20 + -4x) Combine like terms: 5 + -20 = -15 1 + 0.2x = -15 + -4x Solving 1 + 0.2x = -15 + -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. 1 + 0.2x + 4x = -15 + -4x + 4x Combine like terms: 0.2x + 4x = 4.2x 1 + 4.2x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 4.2x = -15 + 0 1 + 4.2x = -15 Add '-1' to each side of the equation. 1 + -1 + 4.2x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 4.2x = -15 + -1 4.2x = -15 + -1 Combine like terms: -15 + -1 = -16 4.2x = -16 Divide each side by '4.2'. x = -3.80952381 Simplifying x = -3.80952381
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