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Simplifying 4x + -32 = 4(4x + 1) Reorder the terms: -32 + 4x = 4(4x + 1) Reorder the terms: -32 + 4x = 4(1 + 4x) -32 + 4x = (1 * 4 + 4x * 4) -32 + 4x = (4 + 16x) Solving -32 + 4x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + 4x + -16x = 4 + 16x + -16x Combine like terms: 4x + -16x = -12x -32 + -12x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + -12x = 4 + 0 -32 + -12x = 4 Add '32' to each side of the equation. -32 + 32 + -12x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = 4 + 32 -12x = 4 + 32 Combine like terms: 4 + 32 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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