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Simplifying 1.25x + 42 = -4 + 3x + 12 Reorder the terms: 42 + 1.25x = -4 + 3x + 12 Reorder the terms: 42 + 1.25x = -4 + 12 + 3x Combine like terms: -4 + 12 = 8 42 + 1.25x = 8 + 3x Solving 42 + 1.25x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + 1.25x + -3x = 8 + 3x + -3x Combine like terms: 1.25x + -3x = -1.75x 42 + -1.75x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -1.75x = 8 + 0 42 + -1.75x = 8 Add '-42' to each side of the equation. 42 + -42 + -1.75x = 8 + -42 Combine like terms: 42 + -42 = 0 0 + -1.75x = 8 + -42 -1.75x = 8 + -42 Combine like terms: 8 + -42 = -34 -1.75x = -34 Divide each side by '-1.75'. x = 19.42857143 Simplifying x = 19.42857143
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