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Simplifying 5(x + -2) + 3(x + 1) = 14 + -2x Reorder the terms: 5(-2 + x) + 3(x + 1) = 14 + -2x (-2 * 5 + x * 5) + 3(x + 1) = 14 + -2x (-10 + 5x) + 3(x + 1) = 14 + -2x Reorder the terms: -10 + 5x + 3(1 + x) = 14 + -2x -10 + 5x + (1 * 3 + x * 3) = 14 + -2x -10 + 5x + (3 + 3x) = 14 + -2x Reorder the terms: -10 + 3 + 5x + 3x = 14 + -2x Combine like terms: -10 + 3 = -7 -7 + 5x + 3x = 14 + -2x Combine like terms: 5x + 3x = 8x -7 + 8x = 14 + -2x Solving -7 + 8x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 8x + 2x = 14 + -2x + 2x Combine like terms: 8x + 2x = 10x -7 + 10x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 10x = 14 + 0 -7 + 10x = 14 Add '7' to each side of the equation. -7 + 7 + 10x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 14 + 7 10x = 14 + 7 Combine like terms: 14 + 7 = 21 10x = 21 Divide each side by '10'. x = 2.1 Simplifying x = 2.1
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