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Simplifying 364 + -30(x + 0.3) = 100x + 20(0.6x + -3.55) Reorder the terms: 364 + -30(0.3 + x) = 100x + 20(0.6x + -3.55) 364 + (0.3 * -30 + x * -30) = 100x + 20(0.6x + -3.55) 364 + (-9 + -30x) = 100x + 20(0.6x + -3.55) Combine like terms: 364 + -9 = 355 355 + -30x = 100x + 20(0.6x + -3.55) Reorder the terms: 355 + -30x = 100x + 20(-3.55 + 0.6x) 355 + -30x = 100x + (-3.55 * 20 + 0.6x * 20) 355 + -30x = 100x + (-71 + 12x) Reorder the terms: 355 + -30x = -71 + 100x + 12x Combine like terms: 100x + 12x = 112x 355 + -30x = -71 + 112x Solving 355 + -30x = -71 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 355 + -30x + -112x = -71 + 112x + -112x Combine like terms: -30x + -112x = -142x 355 + -142x = -71 + 112x + -112x Combine like terms: 112x + -112x = 0 355 + -142x = -71 + 0 355 + -142x = -71 Add '-355' to each side of the equation. 355 + -355 + -142x = -71 + -355 Combine like terms: 355 + -355 = 0 0 + -142x = -71 + -355 -142x = -71 + -355 Combine like terms: -71 + -355 = -426 -142x = -426 Divide each side by '-142'. x = 3 Simplifying x = 3
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