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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 = -19x -19 + -19x = 10x + -10x Combine like terms: 10x + -10x = 0 -19 + -19x = 0 Add '19' to each side of the equation. -19 + 19 + -19x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -19x = 0 + 19 -19x = 0 + 19 Combine like terms: 0 + 19 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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