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Simplifying 12 + 3x = 2(-1x + 8) + -34 Reorder the terms: 12 + 3x = 2(8 + -1x) + -34 12 + 3x = (8 * 2 + -1x * 2) + -34 12 + 3x = (16 + -2x) + -34 Reorder the terms: 12 + 3x = 16 + -34 + -2x Combine like terms: 16 + -34 = -18 12 + 3x = -18 + -2x Solving 12 + 3x = -18 + -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. 12 + 3x + 2x = -18 + -2x + 2x Combine like terms: 3x + 2x = 5x 12 + 5x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 5x = -18 + 0 12 + 5x = -18 Add '-12' to each side of the equation. 12 + -12 + 5x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -18 + -12 5x = -18 + -12 Combine like terms: -18 + -12 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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