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Simplifying 3(6x + -5) + -2(4x + 1) = 7[(x + -1) + -1(2x + 1)] Reorder the terms: 3(-5 + 6x) + -2(4x + 1) = 7[(x + -1) + -1(2x + 1)] (-5 * 3 + 6x * 3) + -2(4x + 1) = 7[(x + -1) + -1(2x + 1)] (-15 + 18x) + -2(4x + 1) = 7[(x + -1) + -1(2x + 1)] Reorder the terms: -15 + 18x + -2(1 + 4x) = 7[(x + -1) + -1(2x + 1)] -15 + 18x + (1 * -2 + 4x * -2) = 7[(x + -1) + -1(2x + 1)] -15 + 18x + (-2 + -8x) = 7[(x + -1) + -1(2x + 1)] Reorder the terms: -15 + -2 + 18x + -8x = 7[(x + -1) + -1(2x + 1)] Combine like terms: -15 + -2 = -17 -17 + 18x + -8x = 7[(x + -1) + -1(2x + 1)] Combine like terms: 18x + -8x = 10x -17 + 10x = 7[(x + -1) + -1(2x + 1)] Reorder the terms: -17 + 10x = 7[(-1 + x) + -1(2x + 1)] Remove parenthesis around (-1 + x) -17 + 10x = 7[-1 + x + -1(2x + 1)] Reorder the terms: -17 + 10x = 7[-1 + x + -1(1 + 2x)] -17 + 10x = 7[-1 + x + (1 * -1 + 2x * -1)] -17 + 10x = 7[-1 + x + (-1 + -2x)] Reorder the terms: -17 + 10x = 7[-1 + -1 + x + -2x] Combine like terms: -1 + -1 = -2 -17 + 10x = 7[-2 + x + -2x] Combine like terms: x + -2x = -1x -17 + 10x = 7[-2 + -1x] -17 + 10x = [-2 * 7 + -1x * 7] -17 + 10x = [-14 + -7x] Solving -17 + 10x = -14 + -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 + 10x + 7x = -14 + -7x + 7x Combine like terms: 10x + 7x = 17x -17 + 17x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -17 + 17x = -14 + 0 -17 + 17x = -14 Add '17' to each side of the equation. -17 + 17 + 17x = -14 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = -14 + 17 17x = -14 + 17 Combine like terms: -14 + 17 = 3 17x = 3 Divide each side by '17'. x = 0.1764705882 Simplifying x = 0.1764705882
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