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Simplifying -6(x + 3) + -1(1 + 3x) = -10x Reorder the terms: -6(3 + x) + -1(1 + 3x) = -10x (3 * -6 + x * -6) + -1(1 + 3x) = -10x (-18 + -6x) + -1(1 + 3x) = -10x -18 + -6x + (1 * -1 + 3x * -1) = -10x -18 + -6x + (-1 + -3x) = -10x Reorder the terms: -18 + -1 + -6x + -3x = -10x Combine like terms: -18 + -1 = -19 -19 + -6x + -3x = -10x Combine like terms: -6x + -3x = -9x -19 + -9x = -10x Solving -19 + -9x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -19 + -9x + 10x = -10x + 10x Combine like terms: -9x + 10x = 1x -19 + 1x = -10x + 10x Combine like terms: -10x + 10x = 0 -19 + 1x = 0 Add '19' to each side of the equation. -19 + 19 + 1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = 0 + 19 1x = 0 + 19 Combine like terms: 0 + 19 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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