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Simplifying 6x + -19 = 2(x + -1) + 11 Reorder the terms: -19 + 6x = 2(x + -1) + 11 Reorder the terms: -19 + 6x = 2(-1 + x) + 11 -19 + 6x = (-1 * 2 + x * 2) + 11 -19 + 6x = (-2 + 2x) + 11 Reorder the terms: -19 + 6x = -2 + 11 + 2x Combine like terms: -2 + 11 = 9 -19 + 6x = 9 + 2x Solving -19 + 6x = 9 + 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. -19 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x -19 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 4x = 9 + 0 -19 + 4x = 9 Add '19' to each side of the equation. -19 + 19 + 4x = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 9 + 19 4x = 9 + 19 Combine like terms: 9 + 19 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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