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Simplifying 3(2 + -1x) + -5(7 + -2x) = 10 + -4x + 5 (2 * 3 + -1x * 3) + -5(7 + -2x) = 10 + -4x + 5 (6 + -3x) + -5(7 + -2x) = 10 + -4x + 5 6 + -3x + (7 * -5 + -2x * -5) = 10 + -4x + 5 6 + -3x + (-35 + 10x) = 10 + -4x + 5 Reorder the terms: 6 + -35 + -3x + 10x = 10 + -4x + 5 Combine like terms: 6 + -35 = -29 -29 + -3x + 10x = 10 + -4x + 5 Combine like terms: -3x + 10x = 7x -29 + 7x = 10 + -4x + 5 Reorder the terms: -29 + 7x = 10 + 5 + -4x Combine like terms: 10 + 5 = 15 -29 + 7x = 15 + -4x Solving -29 + 7x = 15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -29 + 7x + 4x = 15 + -4x + 4x Combine like terms: 7x + 4x = 11x -29 + 11x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 -29 + 11x = 15 + 0 -29 + 11x = 15 Add '29' to each side of the equation. -29 + 29 + 11x = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 11x = 15 + 29 11x = 15 + 29 Combine like terms: 15 + 29 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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