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Simplifying 3 + -5(x + -3) = 4 + -4(x + -5) Reorder the terms: 3 + -5(-3 + x) = 4 + -4(x + -5) 3 + (-3 * -5 + x * -5) = 4 + -4(x + -5) 3 + (15 + -5x) = 4 + -4(x + -5) Combine like terms: 3 + 15 = 18 18 + -5x = 4 + -4(x + -5) Reorder the terms: 18 + -5x = 4 + -4(-5 + x) 18 + -5x = 4 + (-5 * -4 + x * -4) 18 + -5x = 4 + (20 + -4x) Combine like terms: 4 + 20 = 24 18 + -5x = 24 + -4x Solving 18 + -5x = 24 + -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. 18 + -5x + 4x = 24 + -4x + 4x Combine like terms: -5x + 4x = -1x 18 + -1x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + -1x = 24 + 0 18 + -1x = 24 Add '-18' to each side of the equation. 18 + -18 + -1x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 24 + -18 -1x = 24 + -18 Combine like terms: 24 + -18 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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