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Simplifying 954 = 1.5x + 3.5(456 + -1x) 954 = 1.5x + (456 * 3.5 + -1x * 3.5) 954 = 1.5x + (1596 + -3.5x) Reorder the terms: 954 = 1596 + 1.5x + -3.5x Combine like terms: 1.5x + -3.5x = -2x 954 = 1596 + -2x Solving 954 = 1596 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 954 + 2x = 1596 + -2x + 2x Combine like terms: -2x + 2x = 0 954 + 2x = 1596 + 0 954 + 2x = 1596 Add '-954' to each side of the equation. 954 + -954 + 2x = 1596 + -954 Combine like terms: 954 + -954 = 0 0 + 2x = 1596 + -954 2x = 1596 + -954 Combine like terms: 1596 + -954 = 642 2x = 642 Divide each side by '2'. x = 321 Simplifying x = 321
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