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Simplifying 4(4x + -4) + 15 = 12x + 3 Reorder the terms: 4(-4 + 4x) + 15 = 12x + 3 (-4 * 4 + 4x * 4) + 15 = 12x + 3 (-16 + 16x) + 15 = 12x + 3 Reorder the terms: -16 + 15 + 16x = 12x + 3 Combine like terms: -16 + 15 = -1 -1 + 16x = 12x + 3 Reorder the terms: -1 + 16x = 3 + 12x Solving -1 + 16x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 16x + -12x = 3 + 12x + -12x Combine like terms: 16x + -12x = 4x -1 + 4x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + 4x = 3 + 0 -1 + 4x = 3 Add '1' to each side of the equation. -1 + 1 + 4x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 3 + 1 4x = 3 + 1 Combine like terms: 3 + 1 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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