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Simplifying 8 + -4(x + 5) = 3(x + -9) Reorder the terms: 8 + -4(5 + x) = 3(x + -9) 8 + (5 * -4 + x * -4) = 3(x + -9) 8 + (-20 + -4x) = 3(x + -9) Combine like terms: 8 + -20 = -12 -12 + -4x = 3(x + -9) Reorder the terms: -12 + -4x = 3(-9 + x) -12 + -4x = (-9 * 3 + x * 3) -12 + -4x = (-27 + 3x) Solving -12 + -4x = -27 + 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. -12 + -4x + -3x = -27 + 3x + -3x Combine like terms: -4x + -3x = -7x -12 + -7x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -7x = -27 + 0 -12 + -7x = -27 Add '12' to each side of the equation. -12 + 12 + -7x = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -27 + 12 -7x = -27 + 12 Combine like terms: -27 + 12 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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