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Simplifying 2x + 12 = 3(2x + -8) + -10 Reorder the terms: 12 + 2x = 3(2x + -8) + -10 Reorder the terms: 12 + 2x = 3(-8 + 2x) + -10 12 + 2x = (-8 * 3 + 2x * 3) + -10 12 + 2x = (-24 + 6x) + -10 Reorder the terms: 12 + 2x = -24 + -10 + 6x Combine like terms: -24 + -10 = -34 12 + 2x = -34 + 6x Solving 12 + 2x = -34 + 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. 12 + 2x + -6x = -34 + 6x + -6x Combine like terms: 2x + -6x = -4x 12 + -4x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4x = -34 + 0 12 + -4x = -34 Add '-12' to each side of the equation. 12 + -12 + -4x = -34 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -34 + -12 -4x = -34 + -12 Combine like terms: -34 + -12 = -46 -4x = -46 Divide each side by '-4'. x = 11.5 Simplifying x = 11.5
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