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Simplifying 7 + -2(x + -3) = -7 + -5(4 + x) + 7 Reorder the terms: 7 + -2(-3 + x) = -7 + -5(4 + x) + 7 7 + (-3 * -2 + x * -2) = -7 + -5(4 + x) + 7 7 + (6 + -2x) = -7 + -5(4 + x) + 7 Combine like terms: 7 + 6 = 13 13 + -2x = -7 + -5(4 + x) + 7 13 + -2x = -7 + (4 * -5 + x * -5) + 7 13 + -2x = -7 + (-20 + -5x) + 7 Reorder the terms: 13 + -2x = -7 + -20 + 7 + -5x Combine like terms: -7 + -20 = -27 13 + -2x = -27 + 7 + -5x Combine like terms: -27 + 7 = -20 13 + -2x = -20 + -5x Solving 13 + -2x = -20 + -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 = -20 + -5x + 5x Combine like terms: -2x + 5x = 3x 13 + 3x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 3x = -20 + 0 13 + 3x = -20 Add '-13' to each side of the equation. 13 + -13 + 3x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = -20 + -13 3x = -20 + -13 Combine like terms: -20 + -13 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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