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Simplifying 7 + -3(x + 4) = 5x + -1(x + -9) Reorder the terms: 7 + -3(4 + x) = 5x + -1(x + -9) 7 + (4 * -3 + x * -3) = 5x + -1(x + -9) 7 + (-12 + -3x) = 5x + -1(x + -9) Combine like terms: 7 + -12 = -5 -5 + -3x = 5x + -1(x + -9) Reorder the terms: -5 + -3x = 5x + -1(-9 + x) -5 + -3x = 5x + (-9 * -1 + x * -1) -5 + -3x = 5x + (9 + -1x) Reorder the terms: -5 + -3x = 9 + 5x + -1x Combine like terms: 5x + -1x = 4x -5 + -3x = 9 + 4x Solving -5 + -3x = 9 + 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 + -3x + -4x = 9 + 4x + -4x Combine like terms: -3x + -4x = -7x -5 + -7x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -7x = 9 + 0 -5 + -7x = 9 Add '5' to each side of the equation. -5 + 5 + -7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 9 + 5 -7x = 9 + 5 Combine like terms: 9 + 5 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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