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Simplifying 12 + 4x = 2(7x + -3) + -1x Reorder the terms: 12 + 4x = 2(-3 + 7x) + -1x 12 + 4x = (-3 * 2 + 7x * 2) + -1x 12 + 4x = (-6 + 14x) + -1x Combine like terms: 14x + -1x = 13x 12 + 4x = -6 + 13x Solving 12 + 4x = -6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 4x + -13x = -6 + 13x + -13x Combine like terms: 4x + -13x = -9x 12 + -9x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -9x = -6 + 0 12 + -9x = -6 Add '-12' to each side of the equation. 12 + -12 + -9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -6 + -12 -9x = -6 + -12 Combine like terms: -6 + -12 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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