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Simplifying 5(3x + -2) + 5x + -7 = 16 + 2x Reorder the terms: 5(-2 + 3x) + 5x + -7 = 16 + 2x (-2 * 5 + 3x * 5) + 5x + -7 = 16 + 2x (-10 + 15x) + 5x + -7 = 16 + 2x Reorder the terms: -10 + -7 + 15x + 5x = 16 + 2x Combine like terms: -10 + -7 = -17 -17 + 15x + 5x = 16 + 2x Combine like terms: 15x + 5x = 20x -17 + 20x = 16 + 2x Solving -17 + 20x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 20x + -2x = 16 + 2x + -2x Combine like terms: 20x + -2x = 18x -17 + 18x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 18x = 16 + 0 -17 + 18x = 16 Add '17' to each side of the equation. -17 + 17 + 18x = 16 + 17 Combine like terms: -17 + 17 = 0 0 + 18x = 16 + 17 18x = 16 + 17 Combine like terms: 16 + 17 = 33 18x = 33 Divide each side by '18'. x = 1.833333333 Simplifying x = 1.833333333
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