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Simplifying 3(x + -5) + 8x + -2 = 7(x + 3) + 10 Reorder the terms: 3(-5 + x) + 8x + -2 = 7(x + 3) + 10 (-5 * 3 + x * 3) + 8x + -2 = 7(x + 3) + 10 (-15 + 3x) + 8x + -2 = 7(x + 3) + 10 Reorder the terms: -15 + -2 + 3x + 8x = 7(x + 3) + 10 Combine like terms: -15 + -2 = -17 -17 + 3x + 8x = 7(x + 3) + 10 Combine like terms: 3x + 8x = 11x -17 + 11x = 7(x + 3) + 10 Reorder the terms: -17 + 11x = 7(3 + x) + 10 -17 + 11x = (3 * 7 + x * 7) + 10 -17 + 11x = (21 + 7x) + 10 Reorder the terms: -17 + 11x = 21 + 10 + 7x Combine like terms: 21 + 10 = 31 -17 + 11x = 31 + 7x Solving -17 + 11x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + 11x + -7x = 31 + 7x + -7x Combine like terms: 11x + -7x = 4x -17 + 4x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + 4x = 31 + 0 -17 + 4x = 31 Add '17' to each side of the equation. -17 + 17 + 4x = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 31 + 17 4x = 31 + 17 Combine like terms: 31 + 17 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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