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Simplifying 2x + 7 = -2(x + 4) Reorder the terms: 7 + 2x = -2(x + 4) Reorder the terms: 7 + 2x = -2(4 + x) 7 + 2x = (4 * -2 + x * -2) 7 + 2x = (-8 + -2x) Solving 7 + 2x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 2x + 2x = -8 + -2x + 2x Combine like terms: 2x + 2x = 4x 7 + 4x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 4x = -8 + 0 7 + 4x = -8 Add '-7' to each side of the equation. 7 + -7 + 4x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -8 + -7 4x = -8 + -7 Combine like terms: -8 + -7 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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