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Simplifying 265 = 15(x + -55) + 40 Reorder the terms: 265 = 15(-55 + x) + 40 265 = (-55 * 15 + x * 15) + 40 265 = (-825 + 15x) + 40 Reorder the terms: 265 = -825 + 40 + 15x Combine like terms: -825 + 40 = -785 265 = -785 + 15x Solving 265 = -785 + 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. 265 + -15x = -785 + 15x + -15x Combine like terms: 15x + -15x = 0 265 + -15x = -785 + 0 265 + -15x = -785 Add '-265' to each side of the equation. 265 + -265 + -15x = -785 + -265 Combine like terms: 265 + -265 = 0 0 + -15x = -785 + -265 -15x = -785 + -265 Combine like terms: -785 + -265 = -1050 -15x = -1050 Divide each side by '-15'. x = 70 Simplifying x = 70
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