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Simplifying 4(1 + -3x) + -1(2 + x) = 11 + -7x (1 * 4 + -3x * 4) + -1(2 + x) = 11 + -7x (4 + -12x) + -1(2 + x) = 11 + -7x 4 + -12x + (2 * -1 + x * -1) = 11 + -7x 4 + -12x + (-2 + -1x) = 11 + -7x Reorder the terms: 4 + -2 + -12x + -1x = 11 + -7x Combine like terms: 4 + -2 = 2 2 + -12x + -1x = 11 + -7x Combine like terms: -12x + -1x = -13x 2 + -13x = 11 + -7x Solving 2 + -13x = 11 + -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. 2 + -13x + 7x = 11 + -7x + 7x Combine like terms: -13x + 7x = -6x 2 + -6x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + -6x = 11 + 0 2 + -6x = 11 Add '-2' to each side of the equation. 2 + -2 + -6x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 11 + -2 -6x = 11 + -2 Combine like terms: 11 + -2 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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