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Simplifying 5(3x + -7) + -3 = 5(x + -4) + 62 Reorder the terms: 5(-7 + 3x) + -3 = 5(x + -4) + 62 (-7 * 5 + 3x * 5) + -3 = 5(x + -4) + 62 (-35 + 15x) + -3 = 5(x + -4) + 62 Reorder the terms: -35 + -3 + 15x = 5(x + -4) + 62 Combine like terms: -35 + -3 = -38 -38 + 15x = 5(x + -4) + 62 Reorder the terms: -38 + 15x = 5(-4 + x) + 62 -38 + 15x = (-4 * 5 + x * 5) + 62 -38 + 15x = (-20 + 5x) + 62 Reorder the terms: -38 + 15x = -20 + 62 + 5x Combine like terms: -20 + 62 = 42 -38 + 15x = 42 + 5x Solving -38 + 15x = 42 + 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 = 42 + 5x + -5x Combine like terms: 15x + -5x = 10x -38 + 10x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + 10x = 42 + 0 -38 + 10x = 42 Add '38' to each side of the equation. -38 + 38 + 10x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 10x = 42 + 38 10x = 42 + 38 Combine like terms: 42 + 38 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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