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Simplifying -2(3x + 4) + -1x + 6 = 5x + -2(x + 1) + 5 Reorder the terms: -2(4 + 3x) + -1x + 6 = 5x + -2(x + 1) + 5 (4 * -2 + 3x * -2) + -1x + 6 = 5x + -2(x + 1) + 5 (-8 + -6x) + -1x + 6 = 5x + -2(x + 1) + 5 Reorder the terms: -8 + 6 + -6x + -1x = 5x + -2(x + 1) + 5 Combine like terms: -8 + 6 = -2 -2 + -6x + -1x = 5x + -2(x + 1) + 5 Combine like terms: -6x + -1x = -7x -2 + -7x = 5x + -2(x + 1) + 5 Reorder the terms: -2 + -7x = 5x + -2(1 + x) + 5 -2 + -7x = 5x + (1 * -2 + x * -2) + 5 -2 + -7x = 5x + (-2 + -2x) + 5 Reorder the terms: -2 + -7x = -2 + 5 + 5x + -2x Combine like terms: -2 + 5 = 3 -2 + -7x = 3 + 5x + -2x Combine like terms: 5x + -2x = 3x -2 + -7x = 3 + 3x Solving -2 + -7x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -7x + -3x = 3 + 3x + -3x Combine like terms: -7x + -3x = -10x -2 + -10x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -10x = 3 + 0 -2 + -10x = 3 Add '2' to each side of the equation. -2 + 2 + -10x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 3 + 2 -10x = 3 + 2 Combine like terms: 3 + 2 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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