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Simplifying -7 + -4(2x + 1) = 5x + 2(3x + 4) Reorder the terms: -7 + -4(1 + 2x) = 5x + 2(3x + 4) -7 + (1 * -4 + 2x * -4) = 5x + 2(3x + 4) -7 + (-4 + -8x) = 5x + 2(3x + 4) Combine like terms: -7 + -4 = -11 -11 + -8x = 5x + 2(3x + 4) Reorder the terms: -11 + -8x = 5x + 2(4 + 3x) -11 + -8x = 5x + (4 * 2 + 3x * 2) -11 + -8x = 5x + (8 + 6x) Reorder the terms: -11 + -8x = 8 + 5x + 6x Combine like terms: 5x + 6x = 11x -11 + -8x = 8 + 11x Solving -11 + -8x = 8 + 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. -11 + -8x + -11x = 8 + 11x + -11x Combine like terms: -8x + -11x = -19x -11 + -19x = 8 + 11x + -11x Combine like terms: 11x + -11x = 0 -11 + -19x = 8 + 0 -11 + -19x = 8 Add '11' to each side of the equation. -11 + 11 + -19x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + -19x = 8 + 11 -19x = 8 + 11 Combine like terms: 8 + 11 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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