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Simplifying 5(3x + -6) + -3 = 5(x + -4) + 67 Reorder the terms: 5(-6 + 3x) + -3 = 5(x + -4) + 67 (-6 * 5 + 3x * 5) + -3 = 5(x + -4) + 67 (-30 + 15x) + -3 = 5(x + -4) + 67 Reorder the terms: -30 + -3 + 15x = 5(x + -4) + 67 Combine like terms: -30 + -3 = -33 -33 + 15x = 5(x + -4) + 67 Reorder the terms: -33 + 15x = 5(-4 + x) + 67 -33 + 15x = (-4 * 5 + x * 5) + 67 -33 + 15x = (-20 + 5x) + 67 Reorder the terms: -33 + 15x = -20 + 67 + 5x Combine like terms: -20 + 67 = 47 -33 + 15x = 47 + 5x Solving -33 + 15x = 47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -33 + 15x + -5x = 47 + 5x + -5x Combine like terms: 15x + -5x = 10x -33 + 10x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 10x = 47 + 0 -33 + 10x = 47 Add '33' to each side of the equation. -33 + 33 + 10x = 47 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = 47 + 33 10x = 47 + 33 Combine like terms: 47 + 33 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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