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Simplifying -1(-4 + -1x) * 4 + -1(6 + -3x) = 10 + -8x Reorder the terms for easier multiplication: -1 * 4(-4 + -1x) + -1(6 + -3x) = 10 + -8x Multiply -1 * 4 -4(-4 + -1x) + -1(6 + -3x) = 10 + -8x (-4 * -4 + -1x * -4) + -1(6 + -3x) = 10 + -8x (16 + 4x) + -1(6 + -3x) = 10 + -8x 16 + 4x + (6 * -1 + -3x * -1) = 10 + -8x 16 + 4x + (-6 + 3x) = 10 + -8x Reorder the terms: 16 + -6 + 4x + 3x = 10 + -8x Combine like terms: 16 + -6 = 10 10 + 4x + 3x = 10 + -8x Combine like terms: 4x + 3x = 7x 10 + 7x = 10 + -8x Add '-10' to each side of the equation. 10 + -10 + 7x = 10 + -10 + -8x Combine like terms: 10 + -10 = 0 0 + 7x = 10 + -10 + -8x 7x = 10 + -10 + -8x Combine like terms: 10 + -10 = 0 7x = 0 + -8x 7x = -8x Solving 7x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7x + 8x = -8x + 8x Combine like terms: 7x + 8x = 15x 15x = -8x + 8x Combine like terms: -8x + 8x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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