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Simplifying 5(x + 7) + 2 = 4(x + -1) + 1 Reorder the terms: 5(7 + x) + 2 = 4(x + -1) + 1 (7 * 5 + x * 5) + 2 = 4(x + -1) + 1 (35 + 5x) + 2 = 4(x + -1) + 1 Reorder the terms: 35 + 2 + 5x = 4(x + -1) + 1 Combine like terms: 35 + 2 = 37 37 + 5x = 4(x + -1) + 1 Reorder the terms: 37 + 5x = 4(-1 + x) + 1 37 + 5x = (-1 * 4 + x * 4) + 1 37 + 5x = (-4 + 4x) + 1 Reorder the terms: 37 + 5x = -4 + 1 + 4x Combine like terms: -4 + 1 = -3 37 + 5x = -3 + 4x Solving 37 + 5x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 37 + 5x + -4x = -3 + 4x + -4x Combine like terms: 5x + -4x = 1x 37 + 1x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 37 + 1x = -3 + 0 37 + 1x = -3 Add '-37' to each side of the equation. 37 + -37 + 1x = -3 + -37 Combine like terms: 37 + -37 = 0 0 + 1x = -3 + -37 1x = -3 + -37 Combine like terms: -3 + -37 = -40 1x = -40 Divide each side by '1'. x = -40 Simplifying x = -40
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