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Simplifying 8 + -3(2x + -4) = 5x + -1(x + 1) Reorder the terms: 8 + -3(-4 + 2x) = 5x + -1(x + 1) 8 + (-4 * -3 + 2x * -3) = 5x + -1(x + 1) 8 + (12 + -6x) = 5x + -1(x + 1) Combine like terms: 8 + 12 = 20 20 + -6x = 5x + -1(x + 1) Reorder the terms: 20 + -6x = 5x + -1(1 + x) 20 + -6x = 5x + (1 * -1 + x * -1) 20 + -6x = 5x + (-1 + -1x) Reorder the terms: 20 + -6x = -1 + 5x + -1x Combine like terms: 5x + -1x = 4x 20 + -6x = -1 + 4x Solving 20 + -6x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -6x + -4x = -1 + 4x + -4x Combine like terms: -6x + -4x = -10x 20 + -10x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -10x = -1 + 0 20 + -10x = -1 Add '-20' to each side of the equation. 20 + -20 + -10x = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -1 + -20 -10x = -1 + -20 Combine like terms: -1 + -20 = -21 -10x = -21 Divide each side by '-10'. x = 2.1 Simplifying x = 2.1
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