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Simplifying 0.75x + 5 = 3(2x + -7) Reorder the terms: 5 + 0.75x = 3(2x + -7) Reorder the terms: 5 + 0.75x = 3(-7 + 2x) 5 + 0.75x = (-7 * 3 + 2x * 3) 5 + 0.75x = (-21 + 6x) Solving 5 + 0.75x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 0.75x + -6x = -21 + 6x + -6x Combine like terms: 0.75x + -6x = -5.25x 5 + -5.25x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -5.25x = -21 + 0 5 + -5.25x = -21 Add '-5' to each side of the equation. 5 + -5 + -5.25x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -5.25x = -21 + -5 -5.25x = -21 + -5 Combine like terms: -21 + -5 = -26 -5.25x = -26 Divide each side by '-5.25'. x = 4.952380952 Simplifying x = 4.952380952
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