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Simplifying 18(x + 1) + -2x = 4(4x + 1) + -6 Reorder the terms: 18(1 + x) + -2x = 4(4x + 1) + -6 (1 * 18 + x * 18) + -2x = 4(4x + 1) + -6 (18 + 18x) + -2x = 4(4x + 1) + -6 Combine like terms: 18x + -2x = 16x 18 + 16x = 4(4x + 1) + -6 Reorder the terms: 18 + 16x = 4(1 + 4x) + -6 18 + 16x = (1 * 4 + 4x * 4) + -6 18 + 16x = (4 + 16x) + -6 Reorder the terms: 18 + 16x = 4 + -6 + 16x Combine like terms: 4 + -6 = -2 18 + 16x = -2 + 16x Add '-16x' to each side of the equation. 18 + 16x + -16x = -2 + 16x + -16x Combine like terms: 16x + -16x = 0 18 + 0 = -2 + 16x + -16x 18 = -2 + 16x + -16x Combine like terms: 16x + -16x = 0 18 = -2 + 0 18 = -2 Solving 18 = -2 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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