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Simplifying 5(x + 7) + 2 = -4(x + -3) + -11 Reorder the terms: 5(7 + x) + 2 = -4(x + -3) + -11 (7 * 5 + x * 5) + 2 = -4(x + -3) + -11 (35 + 5x) + 2 = -4(x + -3) + -11 Reorder the terms: 35 + 2 + 5x = -4(x + -3) + -11 Combine like terms: 35 + 2 = 37 37 + 5x = -4(x + -3) + -11 Reorder the terms: 37 + 5x = -4(-3 + x) + -11 37 + 5x = (-3 * -4 + x * -4) + -11 37 + 5x = (12 + -4x) + -11 Reorder the terms: 37 + 5x = 12 + -11 + -4x Combine like terms: 12 + -11 = 1 37 + 5x = 1 + -4x Solving 37 + 5x = 1 + -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 = 1 + -4x + 4x Combine like terms: 5x + 4x = 9x 37 + 9x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 37 + 9x = 1 + 0 37 + 9x = 1 Add '-37' to each side of the equation. 37 + -37 + 9x = 1 + -37 Combine like terms: 37 + -37 = 0 0 + 9x = 1 + -37 9x = 1 + -37 Combine like terms: 1 + -37 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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