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Simplifying 7(x + 5) + 2 = -7(x + -4) + -4 Reorder the terms: 7(5 + x) + 2 = -7(x + -4) + -4 (5 * 7 + x * 7) + 2 = -7(x + -4) + -4 (35 + 7x) + 2 = -7(x + -4) + -4 Reorder the terms: 35 + 2 + 7x = -7(x + -4) + -4 Combine like terms: 35 + 2 = 37 37 + 7x = -7(x + -4) + -4 Reorder the terms: 37 + 7x = -7(-4 + x) + -4 37 + 7x = (-4 * -7 + x * -7) + -4 37 + 7x = (28 + -7x) + -4 Reorder the terms: 37 + 7x = 28 + -4 + -7x Combine like terms: 28 + -4 = 24 37 + 7x = 24 + -7x Solving 37 + 7x = 24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 37 + 7x + 7x = 24 + -7x + 7x Combine like terms: 7x + 7x = 14x 37 + 14x = 24 + -7x + 7x Combine like terms: -7x + 7x = 0 37 + 14x = 24 + 0 37 + 14x = 24 Add '-37' to each side of the equation. 37 + -37 + 14x = 24 + -37 Combine like terms: 37 + -37 = 0 0 + 14x = 24 + -37 14x = 24 + -37 Combine like terms: 24 + -37 = -13 14x = -13 Divide each side by '14'. x = -0.9285714286 Simplifying x = -0.9285714286
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