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Simplifying 5(3x + -7) + -3 = 5(x + -3) + 47 Reorder the terms: 5(-7 + 3x) + -3 = 5(x + -3) + 47 (-7 * 5 + 3x * 5) + -3 = 5(x + -3) + 47 (-35 + 15x) + -3 = 5(x + -3) + 47 Reorder the terms: -35 + -3 + 15x = 5(x + -3) + 47 Combine like terms: -35 + -3 = -38 -38 + 15x = 5(x + -3) + 47 Reorder the terms: -38 + 15x = 5(-3 + x) + 47 -38 + 15x = (-3 * 5 + x * 5) + 47 -38 + 15x = (-15 + 5x) + 47 Reorder the terms: -38 + 15x = -15 + 47 + 5x Combine like terms: -15 + 47 = 32 -38 + 15x = 32 + 5x Solving -38 + 15x = 32 + 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. -38 + 15x + -5x = 32 + 5x + -5x Combine like terms: 15x + -5x = 10x -38 + 10x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + 10x = 32 + 0 -38 + 10x = 32 Add '38' to each side of the equation. -38 + 38 + 10x = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 10x = 32 + 38 10x = 32 + 38 Combine like terms: 32 + 38 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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