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Simplifying (-5x + -3) + 8 = -4(x + 7) Reorder the terms: (-3 + -5x) + 8 = -4(x + 7) Remove parenthesis around (-3 + -5x) -3 + -5x + 8 = -4(x + 7) Reorder the terms: -3 + 8 + -5x = -4(x + 7) Combine like terms: -3 + 8 = 5 5 + -5x = -4(x + 7) Reorder the terms: 5 + -5x = -4(7 + x) 5 + -5x = (7 * -4 + x * -4) 5 + -5x = (-28 + -4x) Solving 5 + -5x = -28 + -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. 5 + -5x + 4x = -28 + -4x + 4x Combine like terms: -5x + 4x = -1x 5 + -1x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + -1x = -28 + 0 5 + -1x = -28 Add '-5' to each side of the equation. 5 + -5 + -1x = -28 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -28 + -5 -1x = -28 + -5 Combine like terms: -28 + -5 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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