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Simplifying (-4x + -2) + 7 = -3(x + 5) Reorder the terms: (-2 + -4x) + 7 = -3(x + 5) Remove parenthesis around (-2 + -4x) -2 + -4x + 7 = -3(x + 5) Reorder the terms: -2 + 7 + -4x = -3(x + 5) Combine like terms: -2 + 7 = 5 5 + -4x = -3(x + 5) Reorder the terms: 5 + -4x = -3(5 + x) 5 + -4x = (5 * -3 + x * -3) 5 + -4x = (-15 + -3x) Solving 5 + -4x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + -4x + 3x = -15 + -3x + 3x Combine like terms: -4x + 3x = -1x 5 + -1x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + -1x = -15 + 0 5 + -1x = -15 Add '-5' to each side of the equation. 5 + -5 + -1x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -15 + -5 -1x = -15 + -5 Combine like terms: -15 + -5 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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