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Simplifying 4x + 3 + -3(-4x + -1) = 2(x + -5) Reorder the terms: 4x + 3 + -3(-1 + -4x) = 2(x + -5) 4x + 3 + (-1 * -3 + -4x * -3) = 2(x + -5) 4x + 3 + (3 + 12x) = 2(x + -5) Reorder the terms: 3 + 3 + 4x + 12x = 2(x + -5) Combine like terms: 3 + 3 = 6 6 + 4x + 12x = 2(x + -5) Combine like terms: 4x + 12x = 16x 6 + 16x = 2(x + -5) Reorder the terms: 6 + 16x = 2(-5 + x) 6 + 16x = (-5 * 2 + x * 2) 6 + 16x = (-10 + 2x) Solving 6 + 16x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 16x + -2x = -10 + 2x + -2x Combine like terms: 16x + -2x = 14x 6 + 14x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 14x = -10 + 0 6 + 14x = -10 Add '-6' to each side of the equation. 6 + -6 + 14x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = -10 + -6 14x = -10 + -6 Combine like terms: -10 + -6 = -16 14x = -16 Divide each side by '14'. x = -1.142857143 Simplifying x = -1.142857143
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