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Simplifying 8(x + 4) + -1(4x + -3) = 3x Reorder the terms: 8(4 + x) + -1(4x + -3) = 3x (4 * 8 + x * 8) + -1(4x + -3) = 3x (32 + 8x) + -1(4x + -3) = 3x Reorder the terms: 32 + 8x + -1(-3 + 4x) = 3x 32 + 8x + (-3 * -1 + 4x * -1) = 3x 32 + 8x + (3 + -4x) = 3x Reorder the terms: 32 + 3 + 8x + -4x = 3x Combine like terms: 32 + 3 = 35 35 + 8x + -4x = 3x Combine like terms: 8x + -4x = 4x 35 + 4x = 3x Solving 35 + 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 35 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 35 + 1x = 0 Add '-35' to each side of the equation. 35 + -35 + 1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 0 + -35 1x = 0 + -35 Combine like terms: 0 + -35 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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