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Simplifying 6(x + -3) + 5x = -1(x + 2) + 3x Reorder the terms: 6(-3 + x) + 5x = -1(x + 2) + 3x (-3 * 6 + x * 6) + 5x = -1(x + 2) + 3x (-18 + 6x) + 5x = -1(x + 2) + 3x Combine like terms: 6x + 5x = 11x -18 + 11x = -1(x + 2) + 3x Reorder the terms: -18 + 11x = -1(2 + x) + 3x -18 + 11x = (2 * -1 + x * -1) + 3x -18 + 11x = (-2 + -1x) + 3x Combine like terms: -1x + 3x = 2x -18 + 11x = -2 + 2x Solving -18 + 11x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 11x + -2x = -2 + 2x + -2x Combine like terms: 11x + -2x = 9x -18 + 9x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 9x = -2 + 0 -18 + 9x = -2 Add '18' to each side of the equation. -18 + 18 + 9x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = -2 + 18 9x = -2 + 18 Combine like terms: -2 + 18 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778
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