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Simplifying 2(-15) + -2[4(2x + -1) + -2(2 + -3x) + -8] + 4 = 0 Multiply 2 * -15 -30 + -2[4(2x + -1) + -2(2 + -3x) + -8] + 4 = 0 Reorder the terms: -30 + -2[4(-1 + 2x) + -2(2 + -3x) + -8] + 4 = 0 -30 + -2[(-1 * 4 + 2x * 4) + -2(2 + -3x) + -8] + 4 = 0 -30 + -2[(-4 + 8x) + -2(2 + -3x) + -8] + 4 = 0 -30 + -2[-4 + 8x + (2 * -2 + -3x * -2) + -8] + 4 = 0 -30 + -2[-4 + 8x + (-4 + 6x) + -8] + 4 = 0 Reorder the terms: -30 + -2[-4 + -4 + -8 + 8x + 6x] + 4 = 0 Combine like terms: -4 + -4 = -8 -30 + -2[-8 + -8 + 8x + 6x] + 4 = 0 Combine like terms: -8 + -8 = -16 -30 + -2[-16 + 8x + 6x] + 4 = 0 Combine like terms: 8x + 6x = 14x -30 + -2[-16 + 14x] + 4 = 0 -30 + [-16 * -2 + 14x * -2] + 4 = 0 -30 + [32 + -28x] + 4 = 0 Reorder the terms: -30 + 32 + 4 + -28x = 0 Combine like terms: -30 + 32 = 2 2 + 4 + -28x = 0 Combine like terms: 2 + 4 = 6 6 + -28x = 0 Solving 6 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -28x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -28x = 0 + -6 -28x = 0 + -6 Combine like terms: 0 + -6 = -6 -28x = -6 Divide each side by '-28'. x = 0.2142857143 Simplifying x = 0.2142857143
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