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Simplifying -5x + 49 = 4(2x + -4) Reorder the terms: 49 + -5x = 4(2x + -4) Reorder the terms: 49 + -5x = 4(-4 + 2x) 49 + -5x = (-4 * 4 + 2x * 4) 49 + -5x = (-16 + 8x) Solving 49 + -5x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 49 + -5x + -8x = -16 + 8x + -8x Combine like terms: -5x + -8x = -13x 49 + -13x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 49 + -13x = -16 + 0 49 + -13x = -16 Add '-49' to each side of the equation. 49 + -49 + -13x = -16 + -49 Combine like terms: 49 + -49 = 0 0 + -13x = -16 + -49 -13x = -16 + -49 Combine like terms: -16 + -49 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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