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Simplifying 7(x + 10) + 4 = -4(x + -5) + -1 Reorder the terms: 7(10 + x) + 4 = -4(x + -5) + -1 (10 * 7 + x * 7) + 4 = -4(x + -5) + -1 (70 + 7x) + 4 = -4(x + -5) + -1 Reorder the terms: 70 + 4 + 7x = -4(x + -5) + -1 Combine like terms: 70 + 4 = 74 74 + 7x = -4(x + -5) + -1 Reorder the terms: 74 + 7x = -4(-5 + x) + -1 74 + 7x = (-5 * -4 + x * -4) + -1 74 + 7x = (20 + -4x) + -1 Reorder the terms: 74 + 7x = 20 + -1 + -4x Combine like terms: 20 + -1 = 19 74 + 7x = 19 + -4x Solving 74 + 7x = 19 + -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. 74 + 7x + 4x = 19 + -4x + 4x Combine like terms: 7x + 4x = 11x 74 + 11x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 74 + 11x = 19 + 0 74 + 11x = 19 Add '-74' to each side of the equation. 74 + -74 + 11x = 19 + -74 Combine like terms: 74 + -74 = 0 0 + 11x = 19 + -74 11x = 19 + -74 Combine like terms: 19 + -74 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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