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Simplifying 3(5x + -10) + 7x + -4x + -10 = 2(30 + -1x) Reorder the terms: 3(-10 + 5x) + 7x + -4x + -10 = 2(30 + -1x) (-10 * 3 + 5x * 3) + 7x + -4x + -10 = 2(30 + -1x) (-30 + 15x) + 7x + -4x + -10 = 2(30 + -1x) Reorder the terms: -30 + -10 + 15x + 7x + -4x = 2(30 + -1x) Combine like terms: -30 + -10 = -40 -40 + 15x + 7x + -4x = 2(30 + -1x) Combine like terms: 15x + 7x = 22x -40 + 22x + -4x = 2(30 + -1x) Combine like terms: 22x + -4x = 18x -40 + 18x = 2(30 + -1x) -40 + 18x = (30 * 2 + -1x * 2) -40 + 18x = (60 + -2x) Solving -40 + 18x = 60 + -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. -40 + 18x + 2x = 60 + -2x + 2x Combine like terms: 18x + 2x = 20x -40 + 20x = 60 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + 20x = 60 + 0 -40 + 20x = 60 Add '40' to each side of the equation. -40 + 40 + 20x = 60 + 40 Combine like terms: -40 + 40 = 0 0 + 20x = 60 + 40 20x = 60 + 40 Combine like terms: 60 + 40 = 100 20x = 100 Divide each side by '20'. x = 5 Simplifying x = 5
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