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Simplifying 3(-2x + 1) + -2(x + 13) = 7x + -4(1 + -1x) Reorder the terms: 3(1 + -2x) + -2(x + 13) = 7x + -4(1 + -1x) (1 * 3 + -2x * 3) + -2(x + 13) = 7x + -4(1 + -1x) (3 + -6x) + -2(x + 13) = 7x + -4(1 + -1x) Reorder the terms: 3 + -6x + -2(13 + x) = 7x + -4(1 + -1x) 3 + -6x + (13 * -2 + x * -2) = 7x + -4(1 + -1x) 3 + -6x + (-26 + -2x) = 7x + -4(1 + -1x) Reorder the terms: 3 + -26 + -6x + -2x = 7x + -4(1 + -1x) Combine like terms: 3 + -26 = -23 -23 + -6x + -2x = 7x + -4(1 + -1x) Combine like terms: -6x + -2x = -8x -23 + -8x = 7x + -4(1 + -1x) -23 + -8x = 7x + (1 * -4 + -1x * -4) -23 + -8x = 7x + (-4 + 4x) Reorder the terms: -23 + -8x = -4 + 7x + 4x Combine like terms: 7x + 4x = 11x -23 + -8x = -4 + 11x Solving -23 + -8x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -23 + -8x + -11x = -4 + 11x + -11x Combine like terms: -8x + -11x = -19x -23 + -19x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -23 + -19x = -4 + 0 -23 + -19x = -4 Add '23' to each side of the equation. -23 + 23 + -19x = -4 + 23 Combine like terms: -23 + 23 = 0 0 + -19x = -4 + 23 -19x = -4 + 23 Combine like terms: -4 + 23 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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