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Simplifying 7 + -2(x + -3) = 7 + -5(4 + x) + 5 Reorder the terms: 7 + -2(-3 + x) = 7 + -5(4 + x) + 5 7 + (-3 * -2 + x * -2) = 7 + -5(4 + x) + 5 7 + (6 + -2x) = 7 + -5(4 + x) + 5 Combine like terms: 7 + 6 = 13 13 + -2x = 7 + -5(4 + x) + 5 13 + -2x = 7 + (4 * -5 + x * -5) + 5 13 + -2x = 7 + (-20 + -5x) + 5 Reorder the terms: 13 + -2x = 7 + -20 + 5 + -5x Combine like terms: 7 + -20 = -13 13 + -2x = -13 + 5 + -5x Combine like terms: -13 + 5 = -8 13 + -2x = -8 + -5x Solving 13 + -2x = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + -2x + 5x = -8 + -5x + 5x Combine like terms: -2x + 5x = 3x 13 + 3x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 3x = -8 + 0 13 + 3x = -8 Add '-13' to each side of the equation. 13 + -13 + 3x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = -8 + -13 3x = -8 + -13 Combine like terms: -8 + -13 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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