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Simplifying 7 + -3(x + 4) = 4x + -2(x + -5) Reorder the terms: 7 + -3(4 + x) = 4x + -2(x + -5) 7 + (4 * -3 + x * -3) = 4x + -2(x + -5) 7 + (-12 + -3x) = 4x + -2(x + -5) Combine like terms: 7 + -12 = -5 -5 + -3x = 4x + -2(x + -5) Reorder the terms: -5 + -3x = 4x + -2(-5 + x) -5 + -3x = 4x + (-5 * -2 + x * -2) -5 + -3x = 4x + (10 + -2x) Reorder the terms: -5 + -3x = 10 + 4x + -2x Combine like terms: 4x + -2x = 2x -5 + -3x = 10 + 2x Solving -5 + -3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x -5 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -5x = 10 + 0 -5 + -5x = 10 Add '5' to each side of the equation. -5 + 5 + -5x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 10 + 5 -5x = 10 + 5 Combine like terms: 10 + 5 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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