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Simplifying 8 + 4(2x + 1) + -3(7 + -1x) + 5(1 + -3x) = 0 Reorder the terms: 8 + 4(1 + 2x) + -3(7 + -1x) + 5(1 + -3x) = 0 8 + (1 * 4 + 2x * 4) + -3(7 + -1x) + 5(1 + -3x) = 0 8 + (4 + 8x) + -3(7 + -1x) + 5(1 + -3x) = 0 8 + 4 + 8x + (7 * -3 + -1x * -3) + 5(1 + -3x) = 0 8 + 4 + 8x + (-21 + 3x) + 5(1 + -3x) = 0 8 + 4 + 8x + -21 + 3x + (1 * 5 + -3x * 5) = 0 8 + 4 + 8x + -21 + 3x + (5 + -15x) = 0 Reorder the terms: 8 + 4 + -21 + 5 + 8x + 3x + -15x = 0 Combine like terms: 8 + 4 = 12 12 + -21 + 5 + 8x + 3x + -15x = 0 Combine like terms: 12 + -21 = -9 -9 + 5 + 8x + 3x + -15x = 0 Combine like terms: -9 + 5 = -4 -4 + 8x + 3x + -15x = 0 Combine like terms: 8x + 3x = 11x -4 + 11x + -15x = 0 Combine like terms: 11x + -15x = -4x -4 + -4x = 0 Solving -4 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 0 + 4 -4x = 0 + 4 Combine like terms: 0 + 4 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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