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Simplifying 5x + 4(-3 + -1x) = 4(x + 3) 5x + (-3 * 4 + -1x * 4) = 4(x + 3) 5x + (-12 + -4x) = 4(x + 3) Reorder the terms: -12 + 5x + -4x = 4(x + 3) Combine like terms: 5x + -4x = 1x -12 + 1x = 4(x + 3) Reorder the terms: -12 + 1x = 4(3 + x) -12 + 1x = (3 * 4 + x * 4) -12 + 1x = (12 + 4x) Solving -12 + 1x = 12 + 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. -12 + 1x + -4x = 12 + 4x + -4x Combine like terms: 1x + -4x = -3x -12 + -3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -3x = 12 + 0 -12 + -3x = 12 Add '12' to each side of the equation. -12 + 12 + -3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 12 + 12 -3x = 12 + 12 Combine like terms: 12 + 12 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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