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Simplifying 3(x + 3) + 42 = 6x + -3(x + -5) Reorder the terms: 3(3 + x) + 42 = 6x + -3(x + -5) (3 * 3 + x * 3) + 42 = 6x + -3(x + -5) (9 + 3x) + 42 = 6x + -3(x + -5) Reorder the terms: 9 + 42 + 3x = 6x + -3(x + -5) Combine like terms: 9 + 42 = 51 51 + 3x = 6x + -3(x + -5) Reorder the terms: 51 + 3x = 6x + -3(-5 + x) 51 + 3x = 6x + (-5 * -3 + x * -3) 51 + 3x = 6x + (15 + -3x) Reorder the terms: 51 + 3x = 15 + 6x + -3x Combine like terms: 6x + -3x = 3x 51 + 3x = 15 + 3x Add '-3x' to each side of the equation. 51 + 3x + -3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 51 + 0 = 15 + 3x + -3x 51 = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 51 = 15 + 0 51 = 15 Solving 51 = 15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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