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Simplifying 2[5 + -3(x + 1)] = 25 + x Reorder the terms: 2[5 + -3(1 + x)] = 25 + x 2[5 + (1 * -3 + x * -3)] = 25 + x 2[5 + (-3 + -3x)] = 25 + x Combine like terms: 5 + -3 = 2 2[2 + -3x] = 25 + x [2 * 2 + -3x * 2] = 25 + x [4 + -6x] = 25 + x Solving 4 + -6x = 25 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -6x + -1x = 25 + x + -1x Combine like terms: -6x + -1x = -7x 4 + -7x = 25 + x + -1x Combine like terms: x + -1x = 0 4 + -7x = 25 + 0 4 + -7x = 25 Add '-4' to each side of the equation. 4 + -4 + -7x = 25 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 25 + -4 -7x = 25 + -4 Combine like terms: 25 + -4 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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