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Simplifying 7[2 + (3 + 4x)] + -2x = -9 + 2(1 + -15x) Remove parenthesis around (3 + 4x) 7[2 + 3 + 4x] + -2x = -9 + 2(1 + -15x) Combine like terms: 2 + 3 = 5 7[5 + 4x] + -2x = -9 + 2(1 + -15x) [5 * 7 + 4x * 7] + -2x = -9 + 2(1 + -15x) [35 + 28x] + -2x = -9 + 2(1 + -15x) Combine like terms: 28x + -2x = 26x 35 + 26x = -9 + 2(1 + -15x) 35 + 26x = -9 + (1 * 2 + -15x * 2) 35 + 26x = -9 + (2 + -30x) Combine like terms: -9 + 2 = -7 35 + 26x = -7 + -30x Solving 35 + 26x = -7 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 35 + 26x + 30x = -7 + -30x + 30x Combine like terms: 26x + 30x = 56x 35 + 56x = -7 + -30x + 30x Combine like terms: -30x + 30x = 0 35 + 56x = -7 + 0 35 + 56x = -7 Add '-35' to each side of the equation. 35 + -35 + 56x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 56x = -7 + -35 56x = -7 + -35 Combine like terms: -7 + -35 = -42 56x = -42 Divide each side by '56'. x = -0.75 Simplifying x = -0.75
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