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Simplifying 7(x + 5) + -18 + 2(x + -2) + 3 = 0 Reorder the terms: 7(5 + x) + -18 + 2(x + -2) + 3 = 0 (5 * 7 + x * 7) + -18 + 2(x + -2) + 3 = 0 (35 + 7x) + -18 + 2(x + -2) + 3 = 0 Reorder the terms: 35 + 7x + -18 + 2(-2 + x) + 3 = 0 35 + 7x + -18 + (-2 * 2 + x * 2) + 3 = 0 35 + 7x + -18 + (-4 + 2x) + 3 = 0 Reorder the terms: 35 + -18 + -4 + 3 + 7x + 2x = 0 Combine like terms: 35 + -18 = 17 17 + -4 + 3 + 7x + 2x = 0 Combine like terms: 17 + -4 = 13 13 + 3 + 7x + 2x = 0 Combine like terms: 13 + 3 = 16 16 + 7x + 2x = 0 Combine like terms: 7x + 2x = 9x 16 + 9x = 0 Solving 16 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 0 + -16 9x = 0 + -16 Combine like terms: 0 + -16 = -16 9x = -16 Divide each side by '9'. x = -1.777777778 Simplifying x = -1.777777778
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