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Simplifying 2 + 3(x + -4) = 4x + -12(2x + -7) Reorder the terms: 2 + 3(-4 + x) = 4x + -12(2x + -7) 2 + (-4 * 3 + x * 3) = 4x + -12(2x + -7) 2 + (-12 + 3x) = 4x + -12(2x + -7) Combine like terms: 2 + -12 = -10 -10 + 3x = 4x + -12(2x + -7) Reorder the terms: -10 + 3x = 4x + -12(-7 + 2x) -10 + 3x = 4x + (-7 * -12 + 2x * -12) -10 + 3x = 4x + (84 + -24x) Reorder the terms: -10 + 3x = 84 + 4x + -24x Combine like terms: 4x + -24x = -20x -10 + 3x = 84 + -20x Solving -10 + 3x = 84 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -10 + 3x + 20x = 84 + -20x + 20x Combine like terms: 3x + 20x = 23x -10 + 23x = 84 + -20x + 20x Combine like terms: -20x + 20x = 0 -10 + 23x = 84 + 0 -10 + 23x = 84 Add '10' to each side of the equation. -10 + 10 + 23x = 84 + 10 Combine like terms: -10 + 10 = 0 0 + 23x = 84 + 10 23x = 84 + 10 Combine like terms: 84 + 10 = 94 23x = 94 Divide each side by '23'. x = 4.086956522 Simplifying x = 4.086956522
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