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Simplifying -1(2x + -1) + 6(x + 3) = -4 + -1(7 + -11) Reorder the terms: -1(-1 + 2x) + 6(x + 3) = -4 + -1(7 + -11) (-1 * -1 + 2x * -1) + 6(x + 3) = -4 + -1(7 + -11) (1 + -2x) + 6(x + 3) = -4 + -1(7 + -11) Reorder the terms: 1 + -2x + 6(3 + x) = -4 + -1(7 + -11) 1 + -2x + (3 * 6 + x * 6) = -4 + -1(7 + -11) 1 + -2x + (18 + 6x) = -4 + -1(7 + -11) Reorder the terms: 1 + 18 + -2x + 6x = -4 + -1(7 + -11) Combine like terms: 1 + 18 = 19 19 + -2x + 6x = -4 + -1(7 + -11) Combine like terms: -2x + 6x = 4x 19 + 4x = -4 + -1(7 + -11) Combine like terms: 7 + -11 = -4 19 + 4x = -4 + -1(-4) Multiply -1 * -4 19 + 4x = -4 + 4 Combine like terms: -4 + 4 = 0 19 + 4x = 0 Solving 19 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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