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Simplifying 26(20 + 2x) + -5x = 12(1x + -7) + 44 (20 * 26 + 2x * 26) + -5x = 12(1x + -7) + 44 (520 + 52x) + -5x = 12(1x + -7) + 44 Combine like terms: 52x + -5x = 47x 520 + 47x = 12(1x + -7) + 44 Reorder the terms: 520 + 47x = 12(-7 + 1x) + 44 520 + 47x = (-7 * 12 + 1x * 12) + 44 520 + 47x = (-84 + 12x) + 44 Reorder the terms: 520 + 47x = -84 + 44 + 12x Combine like terms: -84 + 44 = -40 520 + 47x = -40 + 12x Solving 520 + 47x = -40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 520 + 47x + -12x = -40 + 12x + -12x Combine like terms: 47x + -12x = 35x 520 + 35x = -40 + 12x + -12x Combine like terms: 12x + -12x = 0 520 + 35x = -40 + 0 520 + 35x = -40 Add '-520' to each side of the equation. 520 + -520 + 35x = -40 + -520 Combine like terms: 520 + -520 = 0 0 + 35x = -40 + -520 35x = -40 + -520 Combine like terms: -40 + -520 = -560 35x = -560 Divide each side by '35'. x = -16 Simplifying x = -16
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