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Simplifying 7[2 + -1(3 + 4x)] + -2x = -9 + 2(1 + -15) 7[2 + (3 * -1 + 4x * -1)] + -2x = -9 + 2(1 + -15) 7[2 + (-3 + -4x)] + -2x = -9 + 2(1 + -15) Combine like terms: 2 + -3 = -1 7[-1 + -4x] + -2x = -9 + 2(1 + -15) [-1 * 7 + -4x * 7] + -2x = -9 + 2(1 + -15) [-7 + -28x] + -2x = -9 + 2(1 + -15) Combine like terms: -28x + -2x = -30x -7 + -30x = -9 + 2(1 + -15) Combine like terms: 1 + -15 = -14 -7 + -30x = -9 + 2(-14) Multiply 2 * -14 -7 + -30x = -9 + -28 Combine like terms: -9 + -28 = -37 -7 + -30x = -37 Solving -7 + -30x = -37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -30x = -37 + 7 Combine like terms: -7 + 7 = 0 0 + -30x = -37 + 7 -30x = -37 + 7 Combine like terms: -37 + 7 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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