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Simplifying 8(2x + -1) + -4 = 2x + 12 Reorder the terms: 8(-1 + 2x) + -4 = 2x + 12 (-1 * 8 + 2x * 8) + -4 = 2x + 12 (-8 + 16x) + -4 = 2x + 12 Reorder the terms: -8 + -4 + 16x = 2x + 12 Combine like terms: -8 + -4 = -12 -12 + 16x = 2x + 12 Reorder the terms: -12 + 16x = 12 + 2x Solving -12 + 16x = 12 + 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 + 16x + -2x = 12 + 2x + -2x Combine like terms: 16x + -2x = 14x -12 + 14x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 14x = 12 + 0 -12 + 14x = 12 Add '12' to each side of the equation. -12 + 12 + 14x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 12 + 12 14x = 12 + 12 Combine like terms: 12 + 12 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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