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Simplifying 5(3x + -6) + -4 = 5(x + -3) + 51 Reorder the terms: 5(-6 + 3x) + -4 = 5(x + -3) + 51 (-6 * 5 + 3x * 5) + -4 = 5(x + -3) + 51 (-30 + 15x) + -4 = 5(x + -3) + 51 Reorder the terms: -30 + -4 + 15x = 5(x + -3) + 51 Combine like terms: -30 + -4 = -34 -34 + 15x = 5(x + -3) + 51 Reorder the terms: -34 + 15x = 5(-3 + x) + 51 -34 + 15x = (-3 * 5 + x * 5) + 51 -34 + 15x = (-15 + 5x) + 51 Reorder the terms: -34 + 15x = -15 + 51 + 5x Combine like terms: -15 + 51 = 36 -34 + 15x = 36 + 5x Solving -34 + 15x = 36 + 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. -34 + 15x + -5x = 36 + 5x + -5x Combine like terms: 15x + -5x = 10x -34 + 10x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 10x = 36 + 0 -34 + 10x = 36 Add '34' to each side of the equation. -34 + 34 + 10x = 36 + 34 Combine like terms: -34 + 34 = 0 0 + 10x = 36 + 34 10x = 36 + 34 Combine like terms: 36 + 34 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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