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Simplifying 4(x + 6) = 0.2(5x + 15) Reorder the terms: 4(6 + x) = 0.2(5x + 15) (6 * 4 + x * 4) = 0.2(5x + 15) (24 + 4x) = 0.2(5x + 15) Reorder the terms: 24 + 4x = 0.2(15 + 5x) 24 + 4x = (15 * 0.2 + 5x * 0.2) 24 + 4x = (3 + 1x) Solving 24 + 4x = 3 + 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. 24 + 4x + -1x = 3 + 1x + -1x Combine like terms: 4x + -1x = 3x 24 + 3x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + 3x = 3 + 0 24 + 3x = 3 Add '-24' to each side of the equation. 24 + -24 + 3x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 3 + -24 3x = 3 + -24 Combine like terms: 3 + -24 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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