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Simplifying 8 + -3(x + -4) = 19 + 2(1 + -2x) Reorder the terms: 8 + -3(-4 + x) = 19 + 2(1 + -2x) 8 + (-4 * -3 + x * -3) = 19 + 2(1 + -2x) 8 + (12 + -3x) = 19 + 2(1 + -2x) Combine like terms: 8 + 12 = 20 20 + -3x = 19 + 2(1 + -2x) 20 + -3x = 19 + (1 * 2 + -2x * 2) 20 + -3x = 19 + (2 + -4x) Combine like terms: 19 + 2 = 21 20 + -3x = 21 + -4x Solving 20 + -3x = 21 + -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 + -3x + 4x = 21 + -4x + 4x Combine like terms: -3x + 4x = 1x 20 + 1x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 1x = 21 + 0 20 + 1x = 21 Add '-20' to each side of the equation. 20 + -20 + 1x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 21 + -20 1x = 21 + -20 Combine like terms: 21 + -20 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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