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Simplifying 2(1 + 2x) + 9(x + -4) = 10x + -10 + 4x + -6 (1 * 2 + 2x * 2) + 9(x + -4) = 10x + -10 + 4x + -6 (2 + 4x) + 9(x + -4) = 10x + -10 + 4x + -6 Reorder the terms: 2 + 4x + 9(-4 + x) = 10x + -10 + 4x + -6 2 + 4x + (-4 * 9 + x * 9) = 10x + -10 + 4x + -6 2 + 4x + (-36 + 9x) = 10x + -10 + 4x + -6 Reorder the terms: 2 + -36 + 4x + 9x = 10x + -10 + 4x + -6 Combine like terms: 2 + -36 = -34 -34 + 4x + 9x = 10x + -10 + 4x + -6 Combine like terms: 4x + 9x = 13x -34 + 13x = 10x + -10 + 4x + -6 Reorder the terms: -34 + 13x = -10 + -6 + 10x + 4x Combine like terms: -10 + -6 = -16 -34 + 13x = -16 + 10x + 4x Combine like terms: 10x + 4x = 14x -34 + 13x = -16 + 14x Solving -34 + 13x = -16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -34 + 13x + -14x = -16 + 14x + -14x Combine like terms: 13x + -14x = -1x -34 + -1x = -16 + 14x + -14x Combine like terms: 14x + -14x = 0 -34 + -1x = -16 + 0 -34 + -1x = -16 Add '34' to each side of the equation. -34 + 34 + -1x = -16 + 34 Combine like terms: -34 + 34 = 0 0 + -1x = -16 + 34 -1x = -16 + 34 Combine like terms: -16 + 34 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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