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Simplifying 2x + 3 + -7(x + -1) = 2(x + -55) + 5x Reorder the terms: 2x + 3 + -7(-1 + x) = 2(x + -55) + 5x 2x + 3 + (-1 * -7 + x * -7) = 2(x + -55) + 5x 2x + 3 + (7 + -7x) = 2(x + -55) + 5x Reorder the terms: 3 + 7 + 2x + -7x = 2(x + -55) + 5x Combine like terms: 3 + 7 = 10 10 + 2x + -7x = 2(x + -55) + 5x Combine like terms: 2x + -7x = -5x 10 + -5x = 2(x + -55) + 5x Reorder the terms: 10 + -5x = 2(-55 + x) + 5x 10 + -5x = (-55 * 2 + x * 2) + 5x 10 + -5x = (-110 + 2x) + 5x Combine like terms: 2x + 5x = 7x 10 + -5x = -110 + 7x Solving 10 + -5x = -110 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -5x + -7x = -110 + 7x + -7x Combine like terms: -5x + -7x = -12x 10 + -12x = -110 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -12x = -110 + 0 10 + -12x = -110 Add '-10' to each side of the equation. 10 + -10 + -12x = -110 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -110 + -10 -12x = -110 + -10 Combine like terms: -110 + -10 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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