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Simplifying 4 + -1(5x + -2) = 3(x + 4) Reorder the terms: 4 + -1(-2 + 5x) = 3(x + 4) 4 + (-2 * -1 + 5x * -1) = 3(x + 4) 4 + (2 + -5x) = 3(x + 4) Combine like terms: 4 + 2 = 6 6 + -5x = 3(x + 4) Reorder the terms: 6 + -5x = 3(4 + x) 6 + -5x = (4 * 3 + x * 3) 6 + -5x = (12 + 3x) Solving 6 + -5x = 12 + 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. 6 + -5x + -3x = 12 + 3x + -3x Combine like terms: -5x + -3x = -8x 6 + -8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -8x = 12 + 0 6 + -8x = 12 Add '-6' to each side of the equation. 6 + -6 + -8x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 12 + -6 -8x = 12 + -6 Combine like terms: 12 + -6 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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