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Simplifying -4(x + 3) = 3(x + 8) Reorder the terms: -4(3 + x) = 3(x + 8) (3 * -4 + x * -4) = 3(x + 8) (-12 + -4x) = 3(x + 8) Reorder the terms: -12 + -4x = 3(8 + x) -12 + -4x = (8 * 3 + x * 3) -12 + -4x = (24 + 3x) Solving -12 + -4x = 24 + 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 = 24 + 3x + -3x Combine like terms: -4x + -3x = -7x -12 + -7x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -7x = 24 + 0 -12 + -7x = 24 Add '12' to each side of the equation. -12 + 12 + -7x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 24 + 12 -7x = 24 + 12 Combine like terms: 24 + 12 = 36 -7x = 36 Divide each side by '-7'. x = -5.142857143 Simplifying x = -5.142857143
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