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Simplifying 10x + -3(x + 3) = 3 + -2(4x + -7) Reorder the terms: 10x + -3(3 + x) = 3 + -2(4x + -7) 10x + (3 * -3 + x * -3) = 3 + -2(4x + -7) 10x + (-9 + -3x) = 3 + -2(4x + -7) Reorder the terms: -9 + 10x + -3x = 3 + -2(4x + -7) Combine like terms: 10x + -3x = 7x -9 + 7x = 3 + -2(4x + -7) Reorder the terms: -9 + 7x = 3 + -2(-7 + 4x) -9 + 7x = 3 + (-7 * -2 + 4x * -2) -9 + 7x = 3 + (14 + -8x) Combine like terms: 3 + 14 = 17 -9 + 7x = 17 + -8x Solving -9 + 7x = 17 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 7x + 8x = 17 + -8x + 8x Combine like terms: 7x + 8x = 15x -9 + 15x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 15x = 17 + 0 -9 + 15x = 17 Add '9' to each side of the equation. -9 + 9 + 15x = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 15x = 17 + 9 15x = 17 + 9 Combine like terms: 17 + 9 = 26 15x = 26 Divide each side by '15'. x = 1.733333333 Simplifying x = 1.733333333
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