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Simplifying 0.25(40) + 0.60x = 30(40 + x) Multiply 0.25 * 40 10 + 0.60x = 30(40 + x) 10 + 0.60x = (40 * 30 + x * 30) 10 + 0.60x = (1200 + 30x) Solving 10 + 0.60x = 1200 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10 + 0.60x + -30x = 1200 + 30x + -30x Combine like terms: 0.60x + -30x = -29.4x 10 + -29.4x = 1200 + 30x + -30x Combine like terms: 30x + -30x = 0 10 + -29.4x = 1200 + 0 10 + -29.4x = 1200 Add '-10' to each side of the equation. 10 + -10 + -29.4x = 1200 + -10 Combine like terms: 10 + -10 = 0 0 + -29.4x = 1200 + -10 -29.4x = 1200 + -10 Combine like terms: 1200 + -10 = 1190 -29.4x = 1190 Divide each side by '-29.4'. x = -40.47619048 Simplifying x = -40.47619048
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