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Simplifying 4(x + -3) + -2(x + 4) = 7x + 5 Reorder the terms: 4(-3 + x) + -2(x + 4) = 7x + 5 (-3 * 4 + x * 4) + -2(x + 4) = 7x + 5 (-12 + 4x) + -2(x + 4) = 7x + 5 Reorder the terms: -12 + 4x + -2(4 + x) = 7x + 5 -12 + 4x + (4 * -2 + x * -2) = 7x + 5 -12 + 4x + (-8 + -2x) = 7x + 5 Reorder the terms: -12 + -8 + 4x + -2x = 7x + 5 Combine like terms: -12 + -8 = -20 -20 + 4x + -2x = 7x + 5 Combine like terms: 4x + -2x = 2x -20 + 2x = 7x + 5 Reorder the terms: -20 + 2x = 5 + 7x Solving -20 + 2x = 5 + 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 + 2x + -7x = 5 + 7x + -7x Combine like terms: 2x + -7x = -5x -20 + -5x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -5x = 5 + 0 -20 + -5x = 5 Add '20' to each side of the equation. -20 + 20 + -5x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = 5 + 20 -5x = 5 + 20 Combine like terms: 5 + 20 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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