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Simplifying x + -3(x + -5) = -1(4x + 6) Reorder the terms: x + -3(-5 + x) = -1(4x + 6) x + (-5 * -3 + x * -3) = -1(4x + 6) x + (15 + -3x) = -1(4x + 6) Reorder the terms: 15 + x + -3x = -1(4x + 6) Combine like terms: x + -3x = -2x 15 + -2x = -1(4x + 6) Reorder the terms: 15 + -2x = -1(6 + 4x) 15 + -2x = (6 * -1 + 4x * -1) 15 + -2x = (-6 + -4x) Solving 15 + -2x = -6 + -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. 15 + -2x + 4x = -6 + -4x + 4x Combine like terms: -2x + 4x = 2x 15 + 2x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 2x = -6 + 0 15 + 2x = -6 Add '-15' to each side of the equation. 15 + -15 + 2x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -6 + -15 2x = -6 + -15 Combine like terms: -6 + -15 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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