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Simplifying 12 + -3(x + -7) = 6x + -3 Reorder the terms: 12 + -3(-7 + x) = 6x + -3 12 + (-7 * -3 + x * -3) = 6x + -3 12 + (21 + -3x) = 6x + -3 Combine like terms: 12 + 21 = 33 33 + -3x = 6x + -3 Reorder the terms: 33 + -3x = -3 + 6x Solving 33 + -3x = -3 + 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. 33 + -3x + -6x = -3 + 6x + -6x Combine like terms: -3x + -6x = -9x 33 + -9x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 33 + -9x = -3 + 0 33 + -9x = -3 Add '-33' to each side of the equation. 33 + -33 + -9x = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = -3 + -33 -9x = -3 + -33 Combine like terms: -3 + -33 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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