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Simplifying 2(x + 1) + 5 = -4(x + -2) Reorder the terms: 2(1 + x) + 5 = -4(x + -2) (1 * 2 + x * 2) + 5 = -4(x + -2) (2 + 2x) + 5 = -4(x + -2) Reorder the terms: 2 + 5 + 2x = -4(x + -2) Combine like terms: 2 + 5 = 7 7 + 2x = -4(x + -2) Reorder the terms: 7 + 2x = -4(-2 + x) 7 + 2x = (-2 * -4 + x * -4) 7 + 2x = (8 + -4x) Solving 7 + 2x = 8 + -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. 7 + 2x + 4x = 8 + -4x + 4x Combine like terms: 2x + 4x = 6x 7 + 6x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 6x = 8 + 0 7 + 6x = 8 Add '-7' to each side of the equation. 7 + -7 + 6x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 8 + -7 6x = 8 + -7 Combine like terms: 8 + -7 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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