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Simplifying 7[2 + -1(3 + 4x)] + -2x = -9 + 2(1 + 15x) 7[2 + (3 * -1 + 4x * -1)] + -2x = -9 + 2(1 + 15x) 7[2 + (-3 + -4x)] + -2x = -9 + 2(1 + 15x) Combine like terms: 2 + -3 = -1 7[-1 + -4x] + -2x = -9 + 2(1 + 15x) [-1 * 7 + -4x * 7] + -2x = -9 + 2(1 + 15x) [-7 + -28x] + -2x = -9 + 2(1 + 15x) Combine like terms: -28x + -2x = -30x -7 + -30x = -9 + 2(1 + 15x) -7 + -30x = -9 + (1 * 2 + 15x * 2) -7 + -30x = -9 + (2 + 30x) Combine like terms: -9 + 2 = -7 -7 + -30x = -7 + 30x Add '7' to each side of the equation. -7 + 7 + -30x = -7 + 7 + 30x Combine like terms: -7 + 7 = 0 0 + -30x = -7 + 7 + 30x -30x = -7 + 7 + 30x Combine like terms: -7 + 7 = 0 -30x = 0 + 30x -30x = 30x Solving -30x = 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. -30x + -30x = 30x + -30x Combine like terms: -30x + -30x = -60x -60x = 30x + -30x Combine like terms: 30x + -30x = 0 -60x = 0 Divide each side by '-60'. x = 0 Simplifying x = 0
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