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Simplifying 4 + 6(x + -1) = 7 + -6(x + -2) Reorder the terms: 4 + 6(-1 + x) = 7 + -6(x + -2) 4 + (-1 * 6 + x * 6) = 7 + -6(x + -2) 4 + (-6 + 6x) = 7 + -6(x + -2) Combine like terms: 4 + -6 = -2 -2 + 6x = 7 + -6(x + -2) Reorder the terms: -2 + 6x = 7 + -6(-2 + x) -2 + 6x = 7 + (-2 * -6 + x * -6) -2 + 6x = 7 + (12 + -6x) Combine like terms: 7 + 12 = 19 -2 + 6x = 19 + -6x Solving -2 + 6x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 6x + 6x = 19 + -6x + 6x Combine like terms: 6x + 6x = 12x -2 + 12x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 12x = 19 + 0 -2 + 12x = 19 Add '2' to each side of the equation. -2 + 2 + 12x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 19 + 2 12x = 19 + 2 Combine like terms: 19 + 2 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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