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Simplifying -3x + 2 + 6(x + 1) = -1(7x + -4) Reorder the terms: -3x + 2 + 6(1 + x) = -1(7x + -4) -3x + 2 + (1 * 6 + x * 6) = -1(7x + -4) -3x + 2 + (6 + 6x) = -1(7x + -4) Reorder the terms: 2 + 6 + -3x + 6x = -1(7x + -4) Combine like terms: 2 + 6 = 8 8 + -3x + 6x = -1(7x + -4) Combine like terms: -3x + 6x = 3x 8 + 3x = -1(7x + -4) Reorder the terms: 8 + 3x = -1(-4 + 7x) 8 + 3x = (-4 * -1 + 7x * -1) 8 + 3x = (4 + -7x) Solving 8 + 3x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + 3x + 7x = 4 + -7x + 7x Combine like terms: 3x + 7x = 10x 8 + 10x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 10x = 4 + 0 8 + 10x = 4 Add '-8' to each side of the equation. 8 + -8 + 10x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 4 + -8 10x = 4 + -8 Combine like terms: 4 + -8 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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