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Simplifying 2(x + -13) + 26 = 338 + -11x + -4(2x + -12) + 48 + 8x Reorder the terms: 2(-13 + x) + 26 = 338 + -11x + -4(2x + -12) + 48 + 8x (-13 * 2 + x * 2) + 26 = 338 + -11x + -4(2x + -12) + 48 + 8x (-26 + 2x) + 26 = 338 + -11x + -4(2x + -12) + 48 + 8x Reorder the terms: -26 + 26 + 2x = 338 + -11x + -4(2x + -12) + 48 + 8x Combine like terms: -26 + 26 = 0 0 + 2x = 338 + -11x + -4(2x + -12) + 48 + 8x 2x = 338 + -11x + -4(2x + -12) + 48 + 8x Reorder the terms: 2x = 338 + -11x + -4(-12 + 2x) + 48 + 8x 2x = 338 + -11x + (-12 * -4 + 2x * -4) + 48 + 8x 2x = 338 + -11x + (48 + -8x) + 48 + 8x Reorder the terms: 2x = 338 + 48 + 48 + -11x + -8x + 8x Combine like terms: 338 + 48 = 386 2x = 386 + 48 + -11x + -8x + 8x Combine like terms: 386 + 48 = 434 2x = 434 + -11x + -8x + 8x Combine like terms: -11x + -8x = -19x 2x = 434 + -19x + 8x Combine like terms: -19x + 8x = -11x 2x = 434 + -11x Solving 2x = 434 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2x + 11x = 434 + -11x + 11x Combine like terms: 2x + 11x = 13x 13x = 434 + -11x + 11x Combine like terms: -11x + 11x = 0 13x = 434 + 0 13x = 434 Divide each side by '13'. x = 33.38461538 Simplifying x = 33.38461538
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