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Simplifying 3(x + -8) + 14 = 2x + -4 Reorder the terms: 3(-8 + x) + 14 = 2x + -4 (-8 * 3 + x * 3) + 14 = 2x + -4 (-24 + 3x) + 14 = 2x + -4 Reorder the terms: -24 + 14 + 3x = 2x + -4 Combine like terms: -24 + 14 = -10 -10 + 3x = 2x + -4 Reorder the terms: -10 + 3x = -4 + 2x Solving -10 + 3x = -4 + 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. -10 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = -4 + 0 -10 + 1x = -4 Add '10' to each side of the equation. -10 + 10 + 1x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -4 + 10 1x = -4 + 10 Combine like terms: -4 + 10 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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