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