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Simplifying 3(x + -4) = -2(x + 3) + 14 Reorder the terms: 3(-4 + x) = -2(x + 3) + 14 (-4 * 3 + x * 3) = -2(x + 3) + 14 (-12 + 3x) = -2(x + 3) + 14 Reorder the terms: -12 + 3x = -2(3 + x) + 14 -12 + 3x = (3 * -2 + x * -2) + 14 -12 + 3x = (-6 + -2x) + 14 Reorder the terms: -12 + 3x = -6 + 14 + -2x Combine like terms: -6 + 14 = 8 -12 + 3x = 8 + -2x Solving -12 + 3x = 8 + -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 = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -12 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 5x = 8 + 0 -12 + 5x = 8 Add '12' to each side of the equation. -12 + 12 + 5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 8 + 12 5x = 8 + 12 Combine like terms: 8 + 12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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