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Simplifying 5(3x + -5) + -4 = 5(x + -3) + 66 Reorder the terms: 5(-5 + 3x) + -4 = 5(x + -3) + 66 (-5 * 5 + 3x * 5) + -4 = 5(x + -3) + 66 (-25 + 15x) + -4 = 5(x + -3) + 66 Reorder the terms: -25 + -4 + 15x = 5(x + -3) + 66 Combine like terms: -25 + -4 = -29 -29 + 15x = 5(x + -3) + 66 Reorder the terms: -29 + 15x = 5(-3 + x) + 66 -29 + 15x = (-3 * 5 + x * 5) + 66 -29 + 15x = (-15 + 5x) + 66 Reorder the terms: -29 + 15x = -15 + 66 + 5x Combine like terms: -15 + 66 = 51 -29 + 15x = 51 + 5x Solving -29 + 15x = 51 + 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. -29 + 15x + -5x = 51 + 5x + -5x Combine like terms: 15x + -5x = 10x -29 + 10x = 51 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + 10x = 51 + 0 -29 + 10x = 51 Add '29' to each side of the equation. -29 + 29 + 10x = 51 + 29 Combine like terms: -29 + 29 = 0 0 + 10x = 51 + 29 10x = 51 + 29 Combine like terms: 51 + 29 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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