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Simplifying 5(x + 7) + 2 = -4(x + -6) + -2 Reorder the terms: 5(7 + x) + 2 = -4(x + -6) + -2 (7 * 5 + x * 5) + 2 = -4(x + -6) + -2 (35 + 5x) + 2 = -4(x + -6) + -2 Reorder the terms: 35 + 2 + 5x = -4(x + -6) + -2 Combine like terms: 35 + 2 = 37 37 + 5x = -4(x + -6) + -2 Reorder the terms: 37 + 5x = -4(-6 + x) + -2 37 + 5x = (-6 * -4 + x * -4) + -2 37 + 5x = (24 + -4x) + -2 Reorder the terms: 37 + 5x = 24 + -2 + -4x Combine like terms: 24 + -2 = 22 37 + 5x = 22 + -4x Solving 37 + 5x = 22 + -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 = 22 + -4x + 4x Combine like terms: 5x + 4x = 9x 37 + 9x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 37 + 9x = 22 + 0 37 + 9x = 22 Add '-37' to each side of the equation. 37 + -37 + 9x = 22 + -37 Combine like terms: 37 + -37 = 0 0 + 9x = 22 + -37 9x = 22 + -37 Combine like terms: 22 + -37 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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