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Simplifying -7 + 4x + -1x = 2(x + 6) Combine like terms: 4x + -1x = 3x -7 + 3x = 2(x + 6) Reorder the terms: -7 + 3x = 2(6 + x) -7 + 3x = (6 * 2 + x * 2) -7 + 3x = (12 + 2x) Solving -7 + 3x = 12 + 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. -7 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = 12 + 0 -7 + 1x = 12 Add '7' to each side of the equation. -7 + 7 + 1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 12 + 7 1x = 12 + 7 Combine like terms: 12 + 7 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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