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Simplifying 9(x + 2) + -1(2x + 19) = 4x + -10 Reorder the terms: 9(2 + x) + -1(2x + 19) = 4x + -10 (2 * 9 + x * 9) + -1(2x + 19) = 4x + -10 (18 + 9x) + -1(2x + 19) = 4x + -10 Reorder the terms: 18 + 9x + -1(19 + 2x) = 4x + -10 18 + 9x + (19 * -1 + 2x * -1) = 4x + -10 18 + 9x + (-19 + -2x) = 4x + -10 Reorder the terms: 18 + -19 + 9x + -2x = 4x + -10 Combine like terms: 18 + -19 = -1 -1 + 9x + -2x = 4x + -10 Combine like terms: 9x + -2x = 7x -1 + 7x = 4x + -10 Reorder the terms: -1 + 7x = -10 + 4x Solving -1 + 7x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 7x + -4x = -10 + 4x + -4x Combine like terms: 7x + -4x = 3x -1 + 3x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 3x = -10 + 0 -1 + 3x = -10 Add '1' to each side of the equation. -1 + 1 + 3x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -10 + 1 3x = -10 + 1 Combine like terms: -10 + 1 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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