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Simplifying -5(3x + 4) = -15 + -3x + 51 Reorder the terms: -5(4 + 3x) = -15 + -3x + 51 (4 * -5 + 3x * -5) = -15 + -3x + 51 (-20 + -15x) = -15 + -3x + 51 Reorder the terms: -20 + -15x = -15 + 51 + -3x Combine like terms: -15 + 51 = 36 -20 + -15x = 36 + -3x Solving -20 + -15x = 36 + -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. -20 + -15x + 3x = 36 + -3x + 3x Combine like terms: -15x + 3x = -12x -20 + -12x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + -12x = 36 + 0 -20 + -12x = 36 Add '20' to each side of the equation. -20 + 20 + -12x = 36 + 20 Combine like terms: -20 + 20 = 0 0 + -12x = 36 + 20 -12x = 36 + 20 Combine like terms: 36 + 20 = 56 -12x = 56 Divide each side by '-12'. x = -4.666666667 Simplifying x = -4.666666667
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