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Simplifying 3x + -5 = 4(4x + 4) + 5 Reorder the terms: -5 + 3x = 4(4x + 4) + 5 Reorder the terms: -5 + 3x = 4(4 + 4x) + 5 -5 + 3x = (4 * 4 + 4x * 4) + 5 -5 + 3x = (16 + 16x) + 5 Reorder the terms: -5 + 3x = 16 + 5 + 16x Combine like terms: 16 + 5 = 21 -5 + 3x = 21 + 16x Solving -5 + 3x = 21 + 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. -5 + 3x + -16x = 21 + 16x + -16x Combine like terms: 3x + -16x = -13x -5 + -13x = 21 + 16x + -16x Combine like terms: 16x + -16x = 0 -5 + -13x = 21 + 0 -5 + -13x = 21 Add '5' to each side of the equation. -5 + 5 + -13x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -13x = 21 + 5 -13x = 21 + 5 Combine like terms: 21 + 5 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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