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Simplifying 6(x + -1) + 2(x + 2) = 19 + -2x Reorder the terms: 6(-1 + x) + 2(x + 2) = 19 + -2x (-1 * 6 + x * 6) + 2(x + 2) = 19 + -2x (-6 + 6x) + 2(x + 2) = 19 + -2x Reorder the terms: -6 + 6x + 2(2 + x) = 19 + -2x -6 + 6x + (2 * 2 + x * 2) = 19 + -2x -6 + 6x + (4 + 2x) = 19 + -2x Reorder the terms: -6 + 4 + 6x + 2x = 19 + -2x Combine like terms: -6 + 4 = -2 -2 + 6x + 2x = 19 + -2x Combine like terms: 6x + 2x = 8x -2 + 8x = 19 + -2x Solving -2 + 8x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 8x + 2x = 19 + -2x + 2x Combine like terms: 8x + 2x = 10x -2 + 10x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 10x = 19 + 0 -2 + 10x = 19 Add '2' to each side of the equation. -2 + 2 + 10x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 19 + 2 10x = 19 + 2 Combine like terms: 19 + 2 = 21 10x = 21 Divide each side by '10'. x = 2.1 Simplifying x = 2.1
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