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Simplifying 4(x + -3) + 2(x + -5) = 34 Reorder the terms: 4(-3 + x) + 2(x + -5) = 34 (-3 * 4 + x * 4) + 2(x + -5) = 34 (-12 + 4x) + 2(x + -5) = 34 Reorder the terms: -12 + 4x + 2(-5 + x) = 34 -12 + 4x + (-5 * 2 + x * 2) = 34 -12 + 4x + (-10 + 2x) = 34 Reorder the terms: -12 + -10 + 4x + 2x = 34 Combine like terms: -12 + -10 = -22 -22 + 4x + 2x = 34 Combine like terms: 4x + 2x = 6x -22 + 6x = 34 Solving -22 + 6x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6x = 34 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 34 + 22 6x = 34 + 22 Combine like terms: 34 + 22 = 56 6x = 56 Divide each side by '6'. x = 9.333333333 Simplifying x = 9.333333333
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