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Simplifying (0.75x + 6) + -1(2.5x + -1.9) = 0 Reorder the terms: (6 + 0.75x) + -1(2.5x + -1.9) = 0 Remove parenthesis around (6 + 0.75x) 6 + 0.75x + -1(2.5x + -1.9) = 0 Reorder the terms: 6 + 0.75x + -1(-1.9 + 2.5x) = 0 6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0 6 + 0.75x + (1.9 + -2.5x) = 0 Reorder the terms: 6 + 1.9 + 0.75x + -2.5x = 0 Combine like terms: 6 + 1.9 = 7.9 7.9 + 0.75x + -2.5x = 0 Combine like terms: 0.75x + -2.5x = -1.75x 7.9 + -1.75x = 0 Solving 7.9 + -1.75x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.9' to each side of the equation. 7.9 + -7.9 + -1.75x = 0 + -7.9 Combine like terms: 7.9 + -7.9 = 0.0 0.0 + -1.75x = 0 + -7.9 -1.75x = 0 + -7.9 Combine like terms: 0 + -7.9 = -7.9 -1.75x = -7.9 Divide each side by '-1.75'. x = 4.514285714 Simplifying x = 4.514285714
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