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Simplifying 4(x + -12) + -6 = 2x + -12 Reorder the terms: 4(-12 + x) + -6 = 2x + -12 (-12 * 4 + x * 4) + -6 = 2x + -12 (-48 + 4x) + -6 = 2x + -12 Reorder the terms: -48 + -6 + 4x = 2x + -12 Combine like terms: -48 + -6 = -54 -54 + 4x = 2x + -12 Reorder the terms: -54 + 4x = -12 + 2x Solving -54 + 4x = -12 + 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. -54 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x -54 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -54 + 2x = -12 + 0 -54 + 2x = -12 Add '54' to each side of the equation. -54 + 54 + 2x = -12 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = -12 + 54 2x = -12 + 54 Combine like terms: -12 + 54 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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