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Simplifying 3 + -4x + -3 = -10 + 7 + 2x + 5(1 + -1x) Reorder the terms: 3 + -3 + -4x = -10 + 7 + 2x + 5(1 + -1x) Combine like terms: 3 + -3 = 0 0 + -4x = -10 + 7 + 2x + 5(1 + -1x) -4x = -10 + 7 + 2x + 5(1 + -1x) -4x = -10 + 7 + 2x + (1 * 5 + -1x * 5) -4x = -10 + 7 + 2x + (5 + -5x) Reorder the terms: -4x = -10 + 7 + 5 + 2x + -5x Combine like terms: -10 + 7 = -3 -4x = -3 + 5 + 2x + -5x Combine like terms: -3 + 5 = 2 -4x = 2 + 2x + -5x Combine like terms: 2x + -5x = -3x -4x = 2 + -3x Solving -4x = 2 + -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. -4x + 3x = 2 + -3x + 3x Combine like terms: -4x + 3x = -1x -1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -1x = 2 + 0 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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