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Simplifying 7x + 7 + -3x = -1(3 + -2x) + -5 + 2 Reorder the terms: 7 + 7x + -3x = -1(3 + -2x) + -5 + 2 Combine like terms: 7x + -3x = 4x 7 + 4x = -1(3 + -2x) + -5 + 2 7 + 4x = (3 * -1 + -2x * -1) + -5 + 2 7 + 4x = (-3 + 2x) + -5 + 2 Reorder the terms: 7 + 4x = -3 + -5 + 2 + 2x Combine like terms: -3 + -5 = -8 7 + 4x = -8 + 2 + 2x Combine like terms: -8 + 2 = -6 7 + 4x = -6 + 2x Solving 7 + 4x = -6 + 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 + 4x + -2x = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x 7 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 2x = -6 + 0 7 + 2x = -6 Add '-7' to each side of the equation. 7 + -7 + 2x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -6 + -7 2x = -6 + -7 Combine like terms: -6 + -7 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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