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Simplifying 5(3x + -9) + -3 = 5(x + -2) + 32 Reorder the terms: 5(-9 + 3x) + -3 = 5(x + -2) + 32 (-9 * 5 + 3x * 5) + -3 = 5(x + -2) + 32 (-45 + 15x) + -3 = 5(x + -2) + 32 Reorder the terms: -45 + -3 + 15x = 5(x + -2) + 32 Combine like terms: -45 + -3 = -48 -48 + 15x = 5(x + -2) + 32 Reorder the terms: -48 + 15x = 5(-2 + x) + 32 -48 + 15x = (-2 * 5 + x * 5) + 32 -48 + 15x = (-10 + 5x) + 32 Reorder the terms: -48 + 15x = -10 + 32 + 5x Combine like terms: -10 + 32 = 22 -48 + 15x = 22 + 5x Solving -48 + 15x = 22 + 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. -48 + 15x + -5x = 22 + 5x + -5x Combine like terms: 15x + -5x = 10x -48 + 10x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 10x = 22 + 0 -48 + 10x = 22 Add '48' to each side of the equation. -48 + 48 + 10x = 22 + 48 Combine like terms: -48 + 48 = 0 0 + 10x = 22 + 48 10x = 22 + 48 Combine like terms: 22 + 48 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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