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Simplifying 2x + -4(1x + 2) = 12 + -8(2x + -5) Reorder the terms: 2x + -4(2 + 1x) = 12 + -8(2x + -5) 2x + (2 * -4 + 1x * -4) = 12 + -8(2x + -5) 2x + (-8 + -4x) = 12 + -8(2x + -5) Reorder the terms: -8 + 2x + -4x = 12 + -8(2x + -5) Combine like terms: 2x + -4x = -2x -8 + -2x = 12 + -8(2x + -5) Reorder the terms: -8 + -2x = 12 + -8(-5 + 2x) -8 + -2x = 12 + (-5 * -8 + 2x * -8) -8 + -2x = 12 + (40 + -16x) Combine like terms: 12 + 40 = 52 -8 + -2x = 52 + -16x Solving -8 + -2x = 52 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -8 + -2x + 16x = 52 + -16x + 16x Combine like terms: -2x + 16x = 14x -8 + 14x = 52 + -16x + 16x Combine like terms: -16x + 16x = 0 -8 + 14x = 52 + 0 -8 + 14x = 52 Add '8' to each side of the equation. -8 + 8 + 14x = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 52 + 8 14x = 52 + 8 Combine like terms: 52 + 8 = 60 14x = 60 Divide each side by '14'. x = 4.285714286 Simplifying x = 4.285714286
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