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Simplifying 7(25 + -1x) + -5x = 2(3x + -25) + -3x (25 * 7 + -1x * 7) + -5x = 2(3x + -25) + -3x (175 + -7x) + -5x = 2(3x + -25) + -3x Combine like terms: -7x + -5x = -12x 175 + -12x = 2(3x + -25) + -3x Reorder the terms: 175 + -12x = 2(-25 + 3x) + -3x 175 + -12x = (-25 * 2 + 3x * 2) + -3x 175 + -12x = (-50 + 6x) + -3x Combine like terms: 6x + -3x = 3x 175 + -12x = -50 + 3x Solving 175 + -12x = -50 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 175 + -12x + -3x = -50 + 3x + -3x Combine like terms: -12x + -3x = -15x 175 + -15x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 175 + -15x = -50 + 0 175 + -15x = -50 Add '-175' to each side of the equation. 175 + -175 + -15x = -50 + -175 Combine like terms: 175 + -175 = 0 0 + -15x = -50 + -175 -15x = -50 + -175 Combine like terms: -50 + -175 = -225 -15x = -225 Divide each side by '-15'. x = 15 Simplifying x = 15
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