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Simplifying 2(x + -8) + 4 = 4(x + 12) + 16 Reorder the terms: 2(-8 + x) + 4 = 4(x + 12) + 16 (-8 * 2 + x * 2) + 4 = 4(x + 12) + 16 (-16 + 2x) + 4 = 4(x + 12) + 16 Reorder the terms: -16 + 4 + 2x = 4(x + 12) + 16 Combine like terms: -16 + 4 = -12 -12 + 2x = 4(x + 12) + 16 Reorder the terms: -12 + 2x = 4(12 + x) + 16 -12 + 2x = (12 * 4 + x * 4) + 16 -12 + 2x = (48 + 4x) + 16 Reorder the terms: -12 + 2x = 48 + 16 + 4x Combine like terms: 48 + 16 = 64 -12 + 2x = 64 + 4x Solving -12 + 2x = 64 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 2x + -4x = 64 + 4x + -4x Combine like terms: 2x + -4x = -2x -12 + -2x = 64 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -2x = 64 + 0 -12 + -2x = 64 Add '12' to each side of the equation. -12 + 12 + -2x = 64 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 64 + 12 -2x = 64 + 12 Combine like terms: 64 + 12 = 76 -2x = 76 Divide each side by '-2'. x = -38 Simplifying x = -38
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