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