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Simplifying 5(x + -2) = -3(x + 1) + 47 Reorder the terms: 5(-2 + x) = -3(x + 1) + 47 (-2 * 5 + x * 5) = -3(x + 1) + 47 (-10 + 5x) = -3(x + 1) + 47 Reorder the terms: -10 + 5x = -3(1 + x) + 47 -10 + 5x = (1 * -3 + x * -3) + 47 -10 + 5x = (-3 + -3x) + 47 Reorder the terms: -10 + 5x = -3 + 47 + -3x Combine like terms: -3 + 47 = 44 -10 + 5x = 44 + -3x Solving -10 + 5x = 44 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 5x + 3x = 44 + -3x + 3x Combine like terms: 5x + 3x = 8x -10 + 8x = 44 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 8x = 44 + 0 -10 + 8x = 44 Add '10' to each side of the equation. -10 + 10 + 8x = 44 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 44 + 10 8x = 44 + 10 Combine like terms: 44 + 10 = 54 8x = 54 Divide each side by '8'. x = 6.75 Simplifying x = 6.75
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