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Simplifying 7 + 4(x + -3) = 10 + -5(x + -3) Reorder the terms: 7 + 4(-3 + x) = 10 + -5(x + -3) 7 + (-3 * 4 + x * 4) = 10 + -5(x + -3) 7 + (-12 + 4x) = 10 + -5(x + -3) Combine like terms: 7 + -12 = -5 -5 + 4x = 10 + -5(x + -3) Reorder the terms: -5 + 4x = 10 + -5(-3 + x) -5 + 4x = 10 + (-3 * -5 + x * -5) -5 + 4x = 10 + (15 + -5x) Combine like terms: 10 + 15 = 25 -5 + 4x = 25 + -5x Solving -5 + 4x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + 4x + 5x = 25 + -5x + 5x Combine like terms: 4x + 5x = 9x -5 + 9x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 9x = 25 + 0 -5 + 9x = 25 Add '5' to each side of the equation. -5 + 5 + 9x = 25 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 25 + 5 9x = 25 + 5 Combine like terms: 25 + 5 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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