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Simplifying 0.4(x + 25) + -3 = 0.2(7x + 10) Reorder the terms: 0.4(25 + x) + -3 = 0.2(7x + 10) (25 * 0.4 + x * 0.4) + -3 = 0.2(7x + 10) (10 + 0.4x) + -3 = 0.2(7x + 10) Reorder the terms: 10 + -3 + 0.4x = 0.2(7x + 10) Combine like terms: 10 + -3 = 7 7 + 0.4x = 0.2(7x + 10) Reorder the terms: 7 + 0.4x = 0.2(10 + 7x) 7 + 0.4x = (10 * 0.2 + 7x * 0.2) 7 + 0.4x = (2 + 1.4x) Solving 7 + 0.4x = 2 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 7 + 0.4x + -1.4x = 2 + 1.4x + -1.4x Combine like terms: 0.4x + -1.4x = -1x 7 + -1x = 2 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 7 + -1x = 2 + 0.0 7 + -1x = 2 Add '-7' to each side of the equation. 7 + -7 + -1x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 2 + -7 -1x = 2 + -7 Combine like terms: 2 + -7 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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