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Simplifying 4 + 3(x + -3) = 8 + -7(x + -2) Reorder the terms: 4 + 3(-3 + x) = 8 + -7(x + -2) 4 + (-3 * 3 + x * 3) = 8 + -7(x + -2) 4 + (-9 + 3x) = 8 + -7(x + -2) Combine like terms: 4 + -9 = -5 -5 + 3x = 8 + -7(x + -2) Reorder the terms: -5 + 3x = 8 + -7(-2 + x) -5 + 3x = 8 + (-2 * -7 + x * -7) -5 + 3x = 8 + (14 + -7x) Combine like terms: 8 + 14 = 22 -5 + 3x = 22 + -7x Solving -5 + 3x = 22 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 3x + 7x = 22 + -7x + 7x Combine like terms: 3x + 7x = 10x -5 + 10x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 10x = 22 + 0 -5 + 10x = 22 Add '5' to each side of the equation. -5 + 5 + 10x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 22 + 5 10x = 22 + 5 Combine like terms: 22 + 5 = 27 10x = 27 Divide each side by '10'. x = 2.7 Simplifying x = 2.7
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