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Simplifying 7x + 3 + -42(X + 1) = 8X + 3 Reorder the terms: 7x + 3 + -42(1 + X) = 8X + 3 7x + 3 + (1 * -42 + X * -42) = 8X + 3 7x + 3 + (-42 + -42X) = 8X + 3 Reorder the terms: 3 + -42 + -42X + 7x = 8X + 3 Combine like terms: 3 + -42 = -39 -39 + -42X + 7x = 8X + 3 Reorder the terms: -39 + -42X + 7x = 3 + 8X Solving -39 + -42X + 7x = 3 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -39 + -42X + -8X + 7x = 3 + 8X + -8X Combine like terms: -42X + -8X = -50X -39 + -50X + 7x = 3 + 8X + -8X Combine like terms: 8X + -8X = 0 -39 + -50X + 7x = 3 + 0 -39 + -50X + 7x = 3 Add '39' to each side of the equation. -39 + -50X + 39 + 7x = 3 + 39 Reorder the terms: -39 + 39 + -50X + 7x = 3 + 39 Combine like terms: -39 + 39 = 0 0 + -50X + 7x = 3 + 39 -50X + 7x = 3 + 39 Combine like terms: 3 + 39 = 42 -50X + 7x = 42 Add '-7x' to each side of the equation. -50X + 7x + -7x = 42 + -7x Combine like terms: 7x + -7x = 0 -50X + 0 = 42 + -7x -50X = 42 + -7x Divide each side by '-50'. X = -0.84 + 0.14x Simplifying X = -0.84 + 0.14x
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