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Simplifying 6(x + 3) = 9 + -2[x + -4(x + 1)] Reorder the terms: 6(3 + x) = 9 + -2[x + -4(x + 1)] (3 * 6 + x * 6) = 9 + -2[x + -4(x + 1)] (18 + 6x) = 9 + -2[x + -4(x + 1)] Reorder the terms: 18 + 6x = 9 + -2[x + -4(1 + x)] 18 + 6x = 9 + -2[x + (1 * -4 + x * -4)] 18 + 6x = 9 + -2[x + (-4 + -4x)] Reorder the terms: 18 + 6x = 9 + -2[-4 + x + -4x] Combine like terms: x + -4x = -3x 18 + 6x = 9 + -2[-4 + -3x] 18 + 6x = 9 + [-4 * -2 + -3x * -2] 18 + 6x = 9 + [8 + 6x] Combine like terms: 9 + 8 = 17 18 + 6x = 17 + 6x Add '-6x' to each side of the equation. 18 + 6x + -6x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 0 = 17 + 6x + -6x 18 = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 18 = 17 + 0 18 = 17 Solving 18 = 17 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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