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Simplifying 2x + -3(x + -4) = 12x + 5 Reorder the terms: 2x + -3(-4 + x) = 12x + 5 2x + (-4 * -3 + x * -3) = 12x + 5 2x + (12 + -3x) = 12x + 5 Reorder the terms: 12 + 2x + -3x = 12x + 5 Combine like terms: 2x + -3x = -1x 12 + -1x = 12x + 5 Reorder the terms: 12 + -1x = 5 + 12x Solving 12 + -1x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -1x + -12x = 5 + 12x + -12x Combine like terms: -1x + -12x = -13x 12 + -13x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -13x = 5 + 0 12 + -13x = 5 Add '-12' to each side of the equation. 12 + -12 + -13x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = 5 + -12 -13x = 5 + -12 Combine like terms: 5 + -12 = -7 -13x = -7 Divide each side by '-13'. x = 0.5384615385 Simplifying x = 0.5384615385
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