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Simplifying 8(3x + -4) = 14x + -2 Reorder the terms: 8(-4 + 3x) = 14x + -2 (-4 * 8 + 3x * 8) = 14x + -2 (-32 + 24x) = 14x + -2 Reorder the terms: -32 + 24x = -2 + 14x Solving -32 + 24x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -32 + 24x + -14x = -2 + 14x + -14x Combine like terms: 24x + -14x = 10x -32 + 10x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -32 + 10x = -2 + 0 -32 + 10x = -2 Add '32' to each side of the equation. -32 + 32 + 10x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = -2 + 32 10x = -2 + 32 Combine like terms: -2 + 32 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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