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Simplifying 5 + -3(x + -5) = x + -4(2x + 6) Reorder the terms: 5 + -3(-5 + x) = x + -4(2x + 6) 5 + (-5 * -3 + x * -3) = x + -4(2x + 6) 5 + (15 + -3x) = x + -4(2x + 6) Combine like terms: 5 + 15 = 20 20 + -3x = x + -4(2x + 6) Reorder the terms: 20 + -3x = x + -4(6 + 2x) 20 + -3x = x + (6 * -4 + 2x * -4) 20 + -3x = x + (-24 + -8x) Reorder the terms: 20 + -3x = -24 + x + -8x Combine like terms: x + -8x = -7x 20 + -3x = -24 + -7x Solving 20 + -3x = -24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + -3x + 7x = -24 + -7x + 7x Combine like terms: -3x + 7x = 4x 20 + 4x = -24 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 4x = -24 + 0 20 + 4x = -24 Add '-20' to each side of the equation. 20 + -20 + 4x = -24 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -24 + -20 4x = -24 + -20 Combine like terms: -24 + -20 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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