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Simplifying 3x + 5 = 10(2x + -3 + 7) Reorder the terms: 5 + 3x = 10(2x + -3 + 7) Reorder the terms: 5 + 3x = 10(-3 + 7 + 2x) Combine like terms: -3 + 7 = 4 5 + 3x = 10(4 + 2x) 5 + 3x = (4 * 10 + 2x * 10) 5 + 3x = (40 + 20x) Solving 5 + 3x = 40 + 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. 5 + 3x + -20x = 40 + 20x + -20x Combine like terms: 3x + -20x = -17x 5 + -17x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -17x = 40 + 0 5 + -17x = 40 Add '-5' to each side of the equation. 5 + -5 + -17x = 40 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = 40 + -5 -17x = 40 + -5 Combine like terms: 40 + -5 = 35 -17x = 35 Divide each side by '-17'. x = -2.058823529 Simplifying x = -2.058823529
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