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Simplifying (x + 4) + -32 = 4(x + -4) Reorder the terms: (4 + x) + -32 = 4(x + -4) Remove parenthesis around (4 + x) 4 + x + -32 = 4(x + -4) Reorder the terms: 4 + -32 + x = 4(x + -4) Combine like terms: 4 + -32 = -28 -28 + x = 4(x + -4) Reorder the terms: -28 + x = 4(-4 + x) -28 + x = (-4 * 4 + x * 4) -28 + x = (-16 + 4x) Solving -28 + x = -16 + 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. -28 + x + -4x = -16 + 4x + -4x Combine like terms: x + -4x = -3x -28 + -3x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + -3x = -16 + 0 -28 + -3x = -16 Add '28' to each side of the equation. -28 + 28 + -3x = -16 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = -16 + 28 -3x = -16 + 28 Combine like terms: -16 + 28 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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