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