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Simplifying 7(25 + -1x) + -5 = 2(3x + -25) + -3x (25 * 7 + -1x * 7) + -5 = 2(3x + -25) + -3x (175 + -7x) + -5 = 2(3x + -25) + -3x Reorder the terms: 175 + -5 + -7x = 2(3x + -25) + -3x Combine like terms: 175 + -5 = 170 170 + -7x = 2(3x + -25) + -3x Reorder the terms: 170 + -7x = 2(-25 + 3x) + -3x 170 + -7x = (-25 * 2 + 3x * 2) + -3x 170 + -7x = (-50 + 6x) + -3x Combine like terms: 6x + -3x = 3x 170 + -7x = -50 + 3x Solving 170 + -7x = -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. 170 + -7x + -3x = -50 + 3x + -3x Combine like terms: -7x + -3x = -10x 170 + -10x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 170 + -10x = -50 + 0 170 + -10x = -50 Add '-170' to each side of the equation. 170 + -170 + -10x = -50 + -170 Combine like terms: 170 + -170 = 0 0 + -10x = -50 + -170 -10x = -50 + -170 Combine like terms: -50 + -170 = -220 -10x = -220 Divide each side by '-10'. x = 22 Simplifying x = 22
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