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Simplifying 5x + -3(x + 2) = 7x + 1 Reorder the terms: 5x + -3(2 + x) = 7x + 1 5x + (2 * -3 + x * -3) = 7x + 1 5x + (-6 + -3x) = 7x + 1 Reorder the terms: -6 + 5x + -3x = 7x + 1 Combine like terms: 5x + -3x = 2x -6 + 2x = 7x + 1 Reorder the terms: -6 + 2x = 1 + 7x Solving -6 + 2x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 2x + -7x = 1 + 7x + -7x Combine like terms: 2x + -7x = -5x -6 + -5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -5x = 1 + 0 -6 + -5x = 1 Add '6' to each side of the equation. -6 + 6 + -5x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 1 + 6 -5x = 1 + 6 Combine like terms: 1 + 6 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4
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