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Simplifying 3(4x + -6) + 25(x + 2) = x + -4 Reorder the terms: 3(-6 + 4x) + 25(x + 2) = x + -4 (-6 * 3 + 4x * 3) + 25(x + 2) = x + -4 (-18 + 12x) + 25(x + 2) = x + -4 Reorder the terms: -18 + 12x + 25(2 + x) = x + -4 -18 + 12x + (2 * 25 + x * 25) = x + -4 -18 + 12x + (50 + 25x) = x + -4 Reorder the terms: -18 + 50 + 12x + 25x = x + -4 Combine like terms: -18 + 50 = 32 32 + 12x + 25x = x + -4 Combine like terms: 12x + 25x = 37x 32 + 37x = x + -4 Reorder the terms: 32 + 37x = -4 + x Solving 32 + 37x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + 37x + -1x = -4 + x + -1x Combine like terms: 37x + -1x = 36x 32 + 36x = -4 + x + -1x Combine like terms: x + -1x = 0 32 + 36x = -4 + 0 32 + 36x = -4 Add '-32' to each side of the equation. 32 + -32 + 36x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 36x = -4 + -32 36x = -4 + -32 Combine like terms: -4 + -32 = -36 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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