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Simplifying 12 + -1(4 + 5x) = 19 + -3(x + 1) 12 + (4 * -1 + 5x * -1) = 19 + -3(x + 1) 12 + (-4 + -5x) = 19 + -3(x + 1) Combine like terms: 12 + -4 = 8 8 + -5x = 19 + -3(x + 1) Reorder the terms: 8 + -5x = 19 + -3(1 + x) 8 + -5x = 19 + (1 * -3 + x * -3) 8 + -5x = 19 + (-3 + -3x) Combine like terms: 19 + -3 = 16 8 + -5x = 16 + -3x Solving 8 + -5x = 16 + -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. 8 + -5x + 3x = 16 + -3x + 3x Combine like terms: -5x + 3x = -2x 8 + -2x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -2x = 16 + 0 8 + -2x = 16 Add '-8' to each side of the equation. 8 + -8 + -2x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 16 + -8 -2x = 16 + -8 Combine like terms: 16 + -8 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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