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Simplifying 1.94x + -1.25x + 4.32 = 2(0.575x + 1.7) Reorder the terms: 4.32 + 1.94x + -1.25x = 2(0.575x + 1.7) Combine like terms: 1.94x + -1.25x = 0.69x 4.32 + 0.69x = 2(0.575x + 1.7) Reorder the terms: 4.32 + 0.69x = 2(1.7 + 0.575x) 4.32 + 0.69x = (1.7 * 2 + 0.575x * 2) 4.32 + 0.69x = (3.4 + 1.15x) Solving 4.32 + 0.69x = 3.4 + 1.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.15x' to each side of the equation. 4.32 + 0.69x + -1.15x = 3.4 + 1.15x + -1.15x Combine like terms: 0.69x + -1.15x = -0.46x 4.32 + -0.46x = 3.4 + 1.15x + -1.15x Combine like terms: 1.15x + -1.15x = 0.00 4.32 + -0.46x = 3.4 + 0.00 4.32 + -0.46x = 3.4 Add '-4.32' to each side of the equation. 4.32 + -4.32 + -0.46x = 3.4 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + -0.46x = 3.4 + -4.32 -0.46x = 3.4 + -4.32 Combine like terms: 3.4 + -4.32 = -0.92 -0.46x = -0.92 Divide each side by '-0.46'. x = 2 Simplifying x = 2
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