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Simplifying 10(2x + -3) = 7(x + 5) Reorder the terms: 10(-3 + 2x) = 7(x + 5) (-3 * 10 + 2x * 10) = 7(x + 5) (-30 + 20x) = 7(x + 5) Reorder the terms: -30 + 20x = 7(5 + x) -30 + 20x = (5 * 7 + x * 7) -30 + 20x = (35 + 7x) Solving -30 + 20x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -30 + 20x + -7x = 35 + 7x + -7x Combine like terms: 20x + -7x = 13x -30 + 13x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 13x = 35 + 0 -30 + 13x = 35 Add '30' to each side of the equation. -30 + 30 + 13x = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 35 + 30 13x = 35 + 30 Combine like terms: 35 + 30 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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