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Simplifying 2(4x + -12) + -3x = 6x + -1 Reorder the terms: 2(-12 + 4x) + -3x = 6x + -1 (-12 * 2 + 4x * 2) + -3x = 6x + -1 (-24 + 8x) + -3x = 6x + -1 Combine like terms: 8x + -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 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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