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Simplifying 7x + -3(x + 5) = 2(x + 1) + -3x Reorder the terms: 7x + -3(5 + x) = 2(x + 1) + -3x 7x + (5 * -3 + x * -3) = 2(x + 1) + -3x 7x + (-15 + -3x) = 2(x + 1) + -3x Reorder the terms: -15 + 7x + -3x = 2(x + 1) + -3x Combine like terms: 7x + -3x = 4x -15 + 4x = 2(x + 1) + -3x Reorder the terms: -15 + 4x = 2(1 + x) + -3x -15 + 4x = (1 * 2 + x * 2) + -3x -15 + 4x = (2 + 2x) + -3x Combine like terms: 2x + -3x = -1x -15 + 4x = 2 + -1x Solving -15 + 4x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 4x + x = 2 + -1x + x Combine like terms: 4x + x = 5x -15 + 5x = 2 + -1x + x Combine like terms: -1x + x = 0 -15 + 5x = 2 + 0 -15 + 5x = 2 Add '15' to each side of the equation. -15 + 15 + 5x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 2 + 15 5x = 2 + 15 Combine like terms: 2 + 15 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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