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Simplifying -4x + 2(x + -3) = 7x + -12 Reorder the terms: -4x + 2(-3 + x) = 7x + -12 -4x + (-3 * 2 + x * 2) = 7x + -12 -4x + (-6 + 2x) = 7x + -12 Reorder the terms: -6 + -4x + 2x = 7x + -12 Combine like terms: -4x + 2x = -2x -6 + -2x = 7x + -12 Reorder the terms: -6 + -2x = -12 + 7x Solving -6 + -2x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -2x + -7x = -12 + 7x + -7x Combine like terms: -2x + -7x = -9x -6 + -9x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -9x = -12 + 0 -6 + -9x = -12 Add '6' to each side of the equation. -6 + 6 + -9x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -12 + 6 -9x = -12 + 6 Combine like terms: -12 + 6 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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