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Simplifying 7[2x + 2(3 + -2x) + 1] = 4 + 5(2 + -3x) + -1x 7[2x + (3 * 2 + -2x * 2) + 1] = 4 + 5(2 + -3x) + -1x 7[2x + (6 + -4x) + 1] = 4 + 5(2 + -3x) + -1x Reorder the terms: 7[6 + 1 + 2x + -4x] = 4 + 5(2 + -3x) + -1x Combine like terms: 6 + 1 = 7 7[7 + 2x + -4x] = 4 + 5(2 + -3x) + -1x Combine like terms: 2x + -4x = -2x 7[7 + -2x] = 4 + 5(2 + -3x) + -1x [7 * 7 + -2x * 7] = 4 + 5(2 + -3x) + -1x [49 + -14x] = 4 + 5(2 + -3x) + -1x 49 + -14x = 4 + (2 * 5 + -3x * 5) + -1x 49 + -14x = 4 + (10 + -15x) + -1x Combine like terms: 4 + 10 = 14 49 + -14x = 14 + -15x + -1x Combine like terms: -15x + -1x = -16x 49 + -14x = 14 + -16x Solving 49 + -14x = 14 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 49 + -14x + 16x = 14 + -16x + 16x Combine like terms: -14x + 16x = 2x 49 + 2x = 14 + -16x + 16x Combine like terms: -16x + 16x = 0 49 + 2x = 14 + 0 49 + 2x = 14 Add '-49' to each side of the equation. 49 + -49 + 2x = 14 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 14 + -49 2x = 14 + -49 Combine like terms: 14 + -49 = -35 2x = -35 Divide each side by '2'. x = -17.5 Simplifying x = -17.5
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