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Simplifying 2(x + -4) + 4 = 2x + -4(4 + -1x) Reorder the terms: 2(-4 + x) + 4 = 2x + -4(4 + -1x) (-4 * 2 + x * 2) + 4 = 2x + -4(4 + -1x) (-8 + 2x) + 4 = 2x + -4(4 + -1x) Reorder the terms: -8 + 4 + 2x = 2x + -4(4 + -1x) Combine like terms: -8 + 4 = -4 -4 + 2x = 2x + -4(4 + -1x) -4 + 2x = 2x + (4 * -4 + -1x * -4) -4 + 2x = 2x + (-16 + 4x) Reorder the terms: -4 + 2x = -16 + 2x + 4x Combine like terms: 2x + 4x = 6x -4 + 2x = -16 + 6x Solving -4 + 2x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = -16 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = -16 + 0 -4 + -4x = -16 Add '4' to each side of the equation. -4 + 4 + -4x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -16 + 4 -4x = -16 + 4 Combine like terms: -16 + 4 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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