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Simplifying -39x + -15x = -6(32x + -32) + 4(34x + -37) Combine like terms: -39x + -15x = -54x -54x = -6(32x + -32) + 4(34x + -37) Reorder the terms: -54x = -6(-32 + 32x) + 4(34x + -37) -54x = (-32 * -6 + 32x * -6) + 4(34x + -37) -54x = (192 + -192x) + 4(34x + -37) Reorder the terms: -54x = 192 + -192x + 4(-37 + 34x) -54x = 192 + -192x + (-37 * 4 + 34x * 4) -54x = 192 + -192x + (-148 + 136x) Reorder the terms: -54x = 192 + -148 + -192x + 136x Combine like terms: 192 + -148 = 44 -54x = 44 + -192x + 136x Combine like terms: -192x + 136x = -56x -54x = 44 + -56x Solving -54x = 44 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -54x + 56x = 44 + -56x + 56x Combine like terms: -54x + 56x = 2x 2x = 44 + -56x + 56x Combine like terms: -56x + 56x = 0 2x = 44 + 0 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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