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Simplifying [(x + 4) + -1(x + -3)] = [-25 + -1(3x + -5)] Reorder the terms: [(4 + x) + -1(x + -3)] = [-25 + -1(3x + -5)] Remove parenthesis around (4 + x) [4 + x + -1(x + -3)] = [-25 + -1(3x + -5)] Reorder the terms: [4 + x + -1(-3 + x)] = [-25 + -1(3x + -5)] [4 + x + (-3 * -1 + x * -1)] = [-25 + -1(3x + -5)] [4 + x + (3 + -1x)] = [-25 + -1(3x + -5)] Reorder the terms: [4 + 3 + x + -1x] = [-25 + -1(3x + -5)] Combine like terms: 4 + 3 = 7 [7 + x + -1x] = [-25 + -1(3x + -5)] Combine like terms: x + -1x = 0 [7 + 0] = [-25 + -1(3x + -5)] [7] = [-25 + -1(3x + -5)] 7 = [-25 + -1(3x + -5)] Reorder the terms: 7 = [-25 + -1(-5 + 3x)] 7 = [-25 + (-5 * -1 + 3x * -1)] 7 = [-25 + (5 + -3x)] Combine like terms: -25 + 5 = -20 7 = [-20 + -3x] Remove brackets around [-20 + -3x] 7 = -20 + -3x Solving 7 = -20 + -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. 7 + 3x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 3x = -20 + 0 7 + 3x = -20 Add '-7' to each side of the equation. 7 + -7 + 3x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -20 + -7 3x = -20 + -7 Combine like terms: -20 + -7 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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