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Simplifying 7[2 + -1(3 + 4x)] + -2 = -9 + 2(1 + -15x) 7[2 + (3 * -1 + 4x * -1)] + -2 = -9 + 2(1 + -15x) 7[2 + (-3 + -4x)] + -2 = -9 + 2(1 + -15x) Combine like terms: 2 + -3 = -1 7[-1 + -4x] + -2 = -9 + 2(1 + -15x) [-1 * 7 + -4x * 7] + -2 = -9 + 2(1 + -15x) [-7 + -28x] + -2 = -9 + 2(1 + -15x) Reorder the terms: -7 + -2 + -28x = -9 + 2(1 + -15x) Combine like terms: -7 + -2 = -9 -9 + -28x = -9 + 2(1 + -15x) -9 + -28x = -9 + (1 * 2 + -15x * 2) -9 + -28x = -9 + (2 + -30x) Combine like terms: -9 + 2 = -7 -9 + -28x = -7 + -30x Solving -9 + -28x = -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. -9 + -28x + 30x = -7 + -30x + 30x Combine like terms: -28x + 30x = 2x -9 + 2x = -7 + -30x + 30x Combine like terms: -30x + 30x = 0 -9 + 2x = -7 + 0 -9 + 2x = -7 Add '9' to each side of the equation. -9 + 9 + 2x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -7 + 9 2x = -7 + 9 Combine like terms: -7 + 9 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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