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Simplifying 2(x + -12) + 3x = 6x + 1 Reorder the terms: 2(-12 + x) + 3x = 6x + 1 (-12 * 2 + x * 2) + 3x = 6x + 1 (-24 + 2x) + 3x = 6x + 1 Combine like terms: 2x + 3x = 5x -24 + 5x = 6x + 1 Reorder the terms: -24 + 5x = 1 + 6x Solving -24 + 5x = 1 + 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. -24 + 5x + -6x = 1 + 6x + -6x Combine like terms: 5x + -6x = -1x -24 + -1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -1x = 1 + 0 -24 + -1x = 1 Add '24' to each side of the equation. -24 + 24 + -1x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 1 + 24 -1x = 1 + 24 Combine like terms: 1 + 24 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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