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Simplifying 2(x + 1) + 5 = 7(x + -3) + -2 Reorder the terms: 2(1 + x) + 5 = 7(x + -3) + -2 (1 * 2 + x * 2) + 5 = 7(x + -3) + -2 (2 + 2x) + 5 = 7(x + -3) + -2 Reorder the terms: 2 + 5 + 2x = 7(x + -3) + -2 Combine like terms: 2 + 5 = 7 7 + 2x = 7(x + -3) + -2 Reorder the terms: 7 + 2x = 7(-3 + x) + -2 7 + 2x = (-3 * 7 + x * 7) + -2 7 + 2x = (-21 + 7x) + -2 Reorder the terms: 7 + 2x = -21 + -2 + 7x Combine like terms: -21 + -2 = -23 7 + 2x = -23 + 7x Solving 7 + 2x = -23 + 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. 7 + 2x + -7x = -23 + 7x + -7x Combine like terms: 2x + -7x = -5x 7 + -5x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -5x = -23 + 0 7 + -5x = -23 Add '-7' to each side of the equation. 7 + -7 + -5x = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -23 + -7 -5x = -23 + -7 Combine like terms: -23 + -7 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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