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Simplifying 8x + -4(x + 2) = 12(x + 1) + -14 Reorder the terms: 8x + -4(2 + x) = 12(x + 1) + -14 8x + (2 * -4 + x * -4) = 12(x + 1) + -14 8x + (-8 + -4x) = 12(x + 1) + -14 Reorder the terms: -8 + 8x + -4x = 12(x + 1) + -14 Combine like terms: 8x + -4x = 4x -8 + 4x = 12(x + 1) + -14 Reorder the terms: -8 + 4x = 12(1 + x) + -14 -8 + 4x = (1 * 12 + x * 12) + -14 -8 + 4x = (12 + 12x) + -14 Reorder the terms: -8 + 4x = 12 + -14 + 12x Combine like terms: 12 + -14 = -2 -8 + 4x = -2 + 12x Solving -8 + 4x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 4x + -12x = -2 + 12x + -12x Combine like terms: 4x + -12x = -8x -8 + -8x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -8x = -2 + 0 -8 + -8x = -2 Add '8' to each side of the equation. -8 + 8 + -8x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -2 + 8 -8x = -2 + 8 Combine like terms: -2 + 8 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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