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Simplifying 4(x + -4) + 4 = 4x + -2(4 + -1x) Reorder the terms: 4(-4 + x) + 4 = 4x + -2(4 + -1x) (-4 * 4 + x * 4) + 4 = 4x + -2(4 + -1x) (-16 + 4x) + 4 = 4x + -2(4 + -1x) Reorder the terms: -16 + 4 + 4x = 4x + -2(4 + -1x) Combine like terms: -16 + 4 = -12 -12 + 4x = 4x + -2(4 + -1x) -12 + 4x = 4x + (4 * -2 + -1x * -2) -12 + 4x = 4x + (-8 + 2x) Reorder the terms: -12 + 4x = -8 + 4x + 2x Combine like terms: 4x + 2x = 6x -12 + 4x = -8 + 6x Solving -12 + 4x = -8 + 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. -12 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = -8 + 0 -12 + -2x = -8 Add '12' to each side of the equation. -12 + 12 + -2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -8 + 12 -2x = -8 + 12 Combine like terms: -8 + 12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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