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Simplifying -4(x + 3) + 2x + 4 = 2(x + -4) + 16 Reorder the terms: -4(3 + x) + 2x + 4 = 2(x + -4) + 16 (3 * -4 + x * -4) + 2x + 4 = 2(x + -4) + 16 (-12 + -4x) + 2x + 4 = 2(x + -4) + 16 Reorder the terms: -12 + 4 + -4x + 2x = 2(x + -4) + 16 Combine like terms: -12 + 4 = -8 -8 + -4x + 2x = 2(x + -4) + 16 Combine like terms: -4x + 2x = -2x -8 + -2x = 2(x + -4) + 16 Reorder the terms: -8 + -2x = 2(-4 + x) + 16 -8 + -2x = (-4 * 2 + x * 2) + 16 -8 + -2x = (-8 + 2x) + 16 Reorder the terms: -8 + -2x = -8 + 16 + 2x Combine like terms: -8 + 16 = 8 -8 + -2x = 8 + 2x Solving -8 + -2x = 8 + 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. -8 + -2x + -2x = 8 + 2x + -2x Combine like terms: -2x + -2x = -4x -8 + -4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -4x = 8 + 0 -8 + -4x = 8 Add '8' to each side of the equation. -8 + 8 + -4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 8 + 8 -4x = 8 + 8 Combine like terms: 8 + 8 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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