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Simplifying 3x + 17 + -7 = 5(4x + 4) Reorder the terms: 17 + -7 + 3x = 5(4x + 4) Combine like terms: 17 + -7 = 10 10 + 3x = 5(4x + 4) Reorder the terms: 10 + 3x = 5(4 + 4x) 10 + 3x = (4 * 5 + 4x * 5) 10 + 3x = (20 + 20x) Solving 10 + 3x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 10 + 3x + -20x = 20 + 20x + -20x Combine like terms: 3x + -20x = -17x 10 + -17x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + -17x = 20 + 0 10 + -17x = 20 Add '-10' to each side of the equation. 10 + -10 + -17x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = 20 + -10 -17x = 20 + -10 Combine like terms: 20 + -10 = 10 -17x = 10 Divide each side by '-17'. x = -0.5882352941 Simplifying x = -0.5882352941
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