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Simplifying 19(3x + -6) = 25(x + 2) Reorder the terms: 19(-6 + 3x) = 25(x + 2) (-6 * 19 + 3x * 19) = 25(x + 2) (-114 + 57x) = 25(x + 2) Reorder the terms: -114 + 57x = 25(2 + x) -114 + 57x = (2 * 25 + x * 25) -114 + 57x = (50 + 25x) Solving -114 + 57x = 50 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -114 + 57x + -25x = 50 + 25x + -25x Combine like terms: 57x + -25x = 32x -114 + 32x = 50 + 25x + -25x Combine like terms: 25x + -25x = 0 -114 + 32x = 50 + 0 -114 + 32x = 50 Add '114' to each side of the equation. -114 + 114 + 32x = 50 + 114 Combine like terms: -114 + 114 = 0 0 + 32x = 50 + 114 32x = 50 + 114 Combine like terms: 50 + 114 = 164 32x = 164 Divide each side by '32'. x = 5.125 Simplifying x = 5.125
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