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Simplifying -12x + 4(x + -3) + 6x = 2x + -32 Reorder the terms: -12x + 4(-3 + x) + 6x = 2x + -32 -12x + (-3 * 4 + x * 4) + 6x = 2x + -32 -12x + (-12 + 4x) + 6x = 2x + -32 Reorder the terms: -12 + -12x + 4x + 6x = 2x + -32 Combine like terms: -12x + 4x = -8x -12 + -8x + 6x = 2x + -32 Combine like terms: -8x + 6x = -2x -12 + -2x = 2x + -32 Reorder the terms: -12 + -2x = -32 + 2x Solving -12 + -2x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -2x + -2x = -32 + 2x + -2x Combine like terms: -2x + -2x = -4x -12 + -4x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -4x = -32 + 0 -12 + -4x = -32 Add '12' to each side of the equation. -12 + 12 + -4x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -32 + 12 -4x = -32 + 12 Combine like terms: -32 + 12 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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