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Simplifying 270 = 15(x + -55) + 45 Reorder the terms: 270 = 15(-55 + x) + 45 270 = (-55 * 15 + x * 15) + 45 270 = (-825 + 15x) + 45 Reorder the terms: 270 = -825 + 45 + 15x Combine like terms: -825 + 45 = -780 270 = -780 + 15x Solving 270 = -780 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 270 + -15x = -780 + 15x + -15x Combine like terms: 15x + -15x = 0 270 + -15x = -780 + 0 270 + -15x = -780 Add '-270' to each side of the equation. 270 + -270 + -15x = -780 + -270 Combine like terms: 270 + -270 = 0 0 + -15x = -780 + -270 -15x = -780 + -270 Combine like terms: -780 + -270 = -1050 -15x = -1050 Divide each side by '-15'. x = 70 Simplifying x = 70
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