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Simplifying 4(x + -12) + -6x = 2x + 0 Reorder the terms: 4(-12 + x) + -6x = 2x + 0 (-12 * 4 + x * 4) + -6x = 2x + 0 (-48 + 4x) + -6x = 2x + 0 Combine like terms: 4x + -6x = -2x -48 + -2x = 2x + 0 Reorder the terms: -48 + -2x = 0 + 2x Remove the zero: -48 + -2x = 2x Solving -48 + -2x = 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. -48 + -2x + -2x = 2x + -2x Combine like terms: -2x + -2x = -4x -48 + -4x = 2x + -2x Combine like terms: 2x + -2x = 0 -48 + -4x = 0 Add '48' to each side of the equation. -48 + 48 + -4x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -4x = 0 + 48 -4x = 0 + 48 Combine like terms: 0 + 48 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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