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Simplifying 3 + 3(x + -2) = 10 + -4(x + -5) Reorder the terms: 3 + 3(-2 + x) = 10 + -4(x + -5) 3 + (-2 * 3 + x * 3) = 10 + -4(x + -5) 3 + (-6 + 3x) = 10 + -4(x + -5) Combine like terms: 3 + -6 = -3 -3 + 3x = 10 + -4(x + -5) Reorder the terms: -3 + 3x = 10 + -4(-5 + x) -3 + 3x = 10 + (-5 * -4 + x * -4) -3 + 3x = 10 + (20 + -4x) Combine like terms: 10 + 20 = 30 -3 + 3x = 30 + -4x Solving -3 + 3x = 30 + -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. -3 + 3x + 4x = 30 + -4x + 4x Combine like terms: 3x + 4x = 7x -3 + 7x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 7x = 30 + 0 -3 + 7x = 30 Add '3' to each side of the equation. -3 + 3 + 7x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 30 + 3 7x = 30 + 3 Combine like terms: 30 + 3 = 33 7x = 33 Divide each side by '7'. x = 4.714285714 Simplifying x = 4.714285714
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